Spinning the Superweb

Oswaldo Zapata is a young string theorist who recently got his Ph.D. in the subject in Rome. He recently wrote to me to tell me about some essays on the history of superstring theory that he has written, which he is starting to put up on a web-site he calls Spinning the Superweb. I’ll be interested to follow the rest of the essays. He has also posted the first of these on the arXiv.

Zapata’s history is largely concerned with the question of how string theory has achieved acceptance in certain circles despite its failure to satisfy the conventional criteria normally demanded of a successful scientific theory. Reading him, you might initially get the idea he is a string theory skeptic unhappy with what has happened:

From the previous examples we have learnt some important things about the development of string theory. Firstly, as research progresses in a given topic, an explicit reference to the unsolved problem tends to disappear from the literature. For instance, we saw how the quantization of gravity is considered by string theorists to be an accomplished task that does not deserve further study, or even a mention. Secondly, while research advances, the initial problem changes in such a way that it becomes increasingly difficult to unravel the convoluted relationship connecting the final problem to the original one. This was illustrated by our second example concerning string theory and the unification of the forces. Originally the idea was to extract the standard model from superstring theory, an investigation encouraged during the second half of the eighties by the promising results obtained from the heterotic string. Then, by the mid-nineties, the goal was to determine the unique vacuum of the mother of all the theories, the M-Theory. And, more recently, the focus was on the right “environment” of the anthropic solution. Things have changed, but the fundamental query remains unsolved: how do we get the standard model from string theory? With these examples we have learnt something else: this occurs while an “outward” discourse (from the “inside” to the “outside” of the professional community) proclaims that the theory has solved such problems. Indeed, in this movement disadvantages have been transmuted into virtues…

At first, a hypothesis is made, explaining openly its significance as well as its difficulties. At this stage no one is sure of the real value of the conjecture, however, it is interesting enough to drive a significant part of the physics community to devote itself to its development. Step by step “evidence” accumulates and after a while the string theory fact emerges. String theorists have created in this way their own nature: a supersymmetric world, a big bang with all the fundamental forces combined, a multi-dimensional universe, and so forth.

Zapata appears to be claiming there is such a thing as a “string theory fact”, which is somehow different than the usual scientific notion of “fact”, one that requires experimental confirmation.

Among the other unusual aspects of the string theory story that Zapata recognizes is one that has often struck me. This is a subject so complicated that very few people actually understand what is going on, including many of the people working on it. As a result, overhyped claims in the popular media play a big role, with few people able to evaluate them properly:

In fact, string theory is so complex that experts are neither able to understand entirely the main developments nor to follow its rapid growth. In general, practitioners feel confident only in a specific subfield. People working on the AdS/CFT correspondence or twistor theory, for example, do not comprehend the whole area, even though they can be extremely competent when tackling the particular problems of the subfield. Because of this, paradoxically, those that have provided the evidence in support of superstrings do not fully grasp it. Many do not understand the AdS/CFT correspondence completely but they believe in it; it is a matter of fact. A fact in string theory is a shared belief that something is unquestionably true. What I will try to show here is that string theorists often base their beliefs on what they have seen proclaimed everywhere. This ubiquitous discourse includes technical seminars and articles, which I will call the in-in discourse, as well as popular speeches and books, the out-in discourse. Furthermore, I will try to convince the reader that string theorists start to internalize the rules of the game long before they become experts; by means of a discourse that embraces the whole society. I will dub this the out-out discourse when the information comes from non-experts, and the in-out discourse when it comes from professional physicists.

Zapata goes on to give a truly remarkable description of the sociology and psychology of how people get into string theory. Remember, this is coming from a young string theorist:

The discussion above suggests that many string theorists have begun their careers with a biased view of the subject. How they conceive the theory during their formative years depends crucially on previous contact with materials intended for the general public and, later on, on the systematic training given by senior members of the community. We have seen how these two stages in the education of future string theorists coincide at one point: they present new subjects as confirmations of the most fundamental claims of the theory. The theory has succeeded in: quantizing gravity and unifying all the fundamental forces of nature. In addition, it explains the thermodynamics of black holes and has also demonstrated a precise gravity/particle physics correspondence. This is what is taught. Even though young string theorists can feel sometimes uncomfortable with the weakness of some arguments, the challenge usually exceeds their skills. Moreover, in such a competitive field there is no time to digress by asking fundamental questions. When finally the young researcher becomes a full member, with many more resources at hand to tackle fundamental issues, it turns out that they are probably working on a specific topic with its own problems. And, not surprisingly, all these investigations assume the validity of the basic claims of the theory. The once controversial claims are no more questioned; they have been internalized as matters of fact. Eventually, the young researcher becomes an accomplished theoretician; it is now their turn to protect the theory and contribute fervently to the in-out discourse. This final step consolidates further the scientific fact and, very importantly, guarantees the reproduction of well-trained newcomers. This long and tortuous process of internalizing the rules of the game is sociological, but unavoidably also psychological. As I said above, a fact in string theory is a deep and sincere belief, and nobody can dispute certain issues without at the same time denying their own self.

With belief in string theory based on this sort of psychology, it’s not surprising that defending it from skeptics can’t be done with the usual sort of scientific discourse, but requires propagandistic techniques:

What I’ve described in this section is an alternative strategy of validation that string theorists have persistently employed in order to preserve what they consider a worthwhile field of research. The purpose of this is to protect the theory from attacks from defenders of contending models; attacks due in part to theoretical and experimental shortcomings. It is not an exaggeration to say that string theory uses propaganda, more or less as Galileo did in his times: ‘‘He uses psychological tricks in addition to whatever intellectual reasons he has to offer. These tricks are very successful: they lead him to victory.’’

Describing a New York Times article on the Maldacena conjecture, he writes:

This article, and many others of the same sort, reinforce, willingly or not, the social belief that superstring theory is ‘‘on the right track.’’ In this case, the circle of believers is expanded thanks to the participation of non expert actors: science writers and interested readers. This sympathetic environment, which will be illustrated further in the next essays, has been vital for the development of the theory. It must be mentioned that this out-out discourse does not originate independently from professional string theorists. In general, it simply reproduces the in-out discourse of the experts. I do not mean to suggest that string theory popularizers are scientifically illiterate, I just want to highlight that the substance of what they say reflects the opinion and enthusiasm of string theory specialists. In such an abstract area, things could not be any other way. As a consequence of this discourse, a favourable disposition regarding superstrings has permeated into the public domain. The lay public’s attitude functions as a support for the internal discourse. What is more, the layman’s view of superstrings is sometimes internalized by experts on the theory and then works as a reconfirmation of the old belief. To put it differently: the out-out discourse is not only oriented to popular audiences but towards experts as well; the out-out discourse is also an out-in discourse. Consequently, “non-pure” conceptions penetrate and modify the theoretical development of the field. I will call this the in-out-in process. Notice that unlike the in-out-•••-in process explained above, the in-out-in process only concerns the movement of ideas (of course, persons are also involved here, but not in the sociological sense meant before). In this way, with contributions from the in and the out, the creeping belief in the accomplishments of superstring theory is gradually confirmed…

The effects of these kinds of comments on the theory are two-fold. On one side they create a favourable background for the theory to develop, on the other they send a clear message to string theorists that they are doing right, that nature is really as they think it is. I must confess that this hypothesis is hard to prove. However this is what the next essays try to do. Before moving on to these more detailed discussions, I would like to observe something that a string theorist would be unlike to deny: when a newspaper says that colleagues at Harvard are dancing ‘‘La Maldacena,’’ they feel more confident about their own results. Something similar occurred when David Gross was honoured with the Nobel Prize for physics in 2004. My experience was that the general mood among string theorists was very optimistic. They felt that this award was somehow recognition of their own efforts in string theory. Evidence in support of this claim is varied: from technical seminars to public speeches, and from published articles to forwarded emails.

All in all, Zapata does an excellent job of explaing why string theory has been the subject of such a long-term relentless campaign of hype and propaganda, one that continues to this day.

In his essay, he concentrates on the story of AdS/CFT, the one place that string theory has had some real success. As part of this, he engages in some propaganda himself, quoting me out of context in a misleading way. When I wrote in my book about string theory as a “failed project”, I was referring to its failure as an idea about unification, not describing AdS/CFT as a failure.

All in all, Zapata’s essay is something quite remarkable: a view from the inside of what things look like to someone who is both a true believer, as well as a clear-eyed observer of how string theory has gotten to where it is today. I suspect though that his history is already starting to be out-of-date, with the same phenomena that he describes looking very different to the rest of the world. Most physicists have begun to lose patience with the hype and propaganda surrounding string theory, and want nothing to do with a supposedly scientific subject full of true believers acting on a new and non-standard concept of what is a scientific fact and what isn’t.

Posted in Uncategorized | 29 Comments

Star Trek Warp Speed?

To continue with the string theory/movie theme, a commenter just wrote in to tell about some new ideas for using M-theory to create a warp-drive. These are contained in some papers from the past year or two by string theorists Richard Obousy and Gerald Cleaver (see here, here and here). Today, as a tie-in to the release of the new Star Trek movie, Baylor University issued a press release with the title ‘Star Trek’ Warp Speed? Two Baylor Physicists Have a New Idea That Could Make it Happen, which states:

String theory suggests the universe is made up of multiple dimensions. Height, width and length are three dimensions, and time is the fourth dimension. Scientists believe that there are a total of 10 dimensions, with six other dimensions that we can not yet identify. A new theory, called M-theory, takes string theory one step farther and states that the “strings” actually vibrate in an 11-dimensional space. It is this 11th dimension that the Baylor researchers believe could help propel a ship faster than the speed of light.

Interesting to know that there’s a “new” theory called “M-theory”. Maybe it will replace the old one that has been around for 14 years or so. In any case, while the Woody Allen film is not out, the new Star Trek is, and when I go see it tomorrow night, the fact that it is based on solid science will be reassuring.

Update: Sadly, no explanation in the Star Trek movie of how M-theory was used in the design of the warp drives. However, according to EETimes, a Star Trek warp drive is already in the works.

Posted in This Week's Hype | 19 Comments

Whatever Works

The latest Woody Allen film, Whatever Works, was shown recently at the Tribeca Film Festival. I missed it there, but it looks like I’ll have to see it when it comes out in theaters later this year. It features the conventional Woody Allen theme of a gorgeous young woman falling in love with a misanthropic Manhattanite old enough to be her grandfather. But this time, the Woody Allen character is a string theorist. Here’s part of the plot summary:

A former Columbia Professor and self-proclaimed genius who came close to winning a Nobel Prize for Quantum Mechanics, Boris fancies himself the only one who fully comprehends the meaningless of all human aspirations, and the pitch-black chaos of the universe….

Boris once had a picture-perfect life. A world-renowned physicist teaching String Theory at Columbia, he was married to Jessica (Carolyn McCormick), a brilliant and beautiful, rich woman, and lived in an opulent uptown apartment. But Boris’s good fortune didn’t alleviate his perpetual feelings of despair, and one night, in the midst of an argument with Jessica, he leapt out the window. To his great disappointment, he landed on a canopy and survived. Afterwards, he divorced Jessica and moved downtown.

One night, Boris is about to enter his apartment when he is approached by a young runaway, Melody St. Ann Celestine (Evan Rachel Wood), who begs to be let into his apartment….

Posted in Uncategorized | 13 Comments

Witten Away From the Energy Frontier

Edward Witten has been visiting CERN this past academic year, and it seems that besides continuing to work on things related to geometric Langlands (see his recent talk at Atiyah80), he also has been returning to his roots as a phenomenologist, and taking a wide interest in a range of phenomenological questions being discussed at CERN.

Next week CERN will be hosting a workshop on New Opportunities in the Physics Landscape at CERN, to discuss experiments at CERN over the next 5-10 years that are NOT directly related to the LHC. Witten will open the workshop with a talk on Perspectives in the Physics Landscape away from the Energy Frontier, and his slides are already available. He comments on a variety of topics, including CMB measurements relevant to inflation, neutrino masses and mixings, proton decay, CP violation and axions, and dark matter candidates. All in all, it’s a quite comprehensive survey of how possible non-LHC results might address beyond Standard Model physics questions, mostly from the point of view of the now conventional speculative framework of Supersymmetry/GUTs/String theory.

Posted in Uncategorized | 15 Comments

LHC On Schedule

A couple weeks ago I linked here to a draft LHC schedule that had about 3 weeks slippage from the previous schedule, which has beam commissioning starting again on September 21 (week 39). This was due to delays in getting the new quench protection system in place, which meant that powering tests could not start until later than planned. The latest news is that a way has been found to get some of the powering tests done earlier, and then get the bulk of the tests done in 11 rather than 14 weeks by adding shifts and working on sectors in parallel. The latest schedule thus is able to stick to the September 21 start date.

The working assumption remains that it will take a month or so from that date to get colliding beams and the possibility of starting to get some data. The plan now is to run through the normal winter shutdown period for about a year until the late fall of 2010, hoping to collect 100-500 pb^-1 at 10 TeV center of mass energy. This week in Berkeley there’s a workshop on Physics Opportunities with Early LHC Data. At the projected luminosities there’s not much hope of competing with the Tevatron on the search for the Higgs, but the LHC would be able to push up current Tevatron limits on masses of some superpartners (gluinos).

There are also recent postings about prospects for the LHC from Tommaso Dorigo, and John Conway at Cosmic Variance.

At the KITP in Santa Barbara, there had been plans to have a program on The First Year of the LHC, starting in May of next year. The delay in LHC startup has caused that program to be pushed back, with a new startup date of June 6, 2011.

The latest CERN Bulletin has news and video of the recent transport of the final replacement magnet for the damaged sector 34. All the necessary refurbished magnets are now in the tunnel, and work on the interconnections is on-going.

In other CERN news, I hear that the Austrian government has decided, for budgetary reasons, to withdraw from membership in CERN by the end of 2011. This decision still needs to be ratified by the parliament, so perhaps there is some hope of getting it over-turned.

Update: Maybe not all is well. I hear that new problems have turned up with some of the busbar connections. It turns out that in some cases the way the superconductor was soldered in some interconnections melted the solder connecting superconductor and copper. This could be a problem during a quench. Investigation of the problem is ongoing, and it will take a couple weeks before data is in, analyzed and conclusions can be drawn.

Posted in Experimental HEP News | 4 Comments

Brane Science

There’s a nice article in Nature News about the solution to the Kervaire invariant problem mentioned here. It’s an excellent and accurate description of the result and its significance, except for the last paragraph, on “Brane science”, where the author can’t resist following the convention of appending some nonsensical hype about string theory:

Because the new approach involves looking at topological problems of a manifold from the perspective of a space that has one more dimension, it is analogous to the use of one-dimensional strings as the basis of zero-dimensional (point-like) fundamental particles. Similarly, it has become popular for cosmologists to study the behaviour of space-time from the perspective of higher-dimensional ‘branes’ that interact with one another. This is why studying the Kervaire invariant problem might offer useful mathematical techniques to fundamental physics.

Update: This news is now featured on the AMS web-site, together with the misleading hype about strings and branes:

Ball explains “although it looks at face value to be extremely abstruse, the mathematics involved in the solution might be relevant to quantum theory and string theory, not to mention brane theory, which has been invoked to explore some issues in Big Bang cosmology.”

Posted in This Week's Hype | 9 Comments

The Only Game in Town

This week’s New Scientist has an article promoting the string theory multiverse, starting off with positive comments from Brian Greene, and continuing with a claim that the majority of physicists now embrace the idea:

Greene’s transformation is emblematic of a profound change among the majority of physicists. Until recently, many were reluctant to accept this idea of the “multiverse”, or were even belligerent towards it. However, recent progress in both cosmology and string theory is bringing about a major shift in thinking. Gone is the grudging acceptance or outright loathing of the multiverse. Instead, physicists are starting to look at ways of working with it, and maybe even trying to prove its existence.

In his promotional book on the subject, Susskind is able to come up with exactly one bit of information that the string theory multiverse hypothesis provides, a prediction of the sign of the spatial curvature of the universe (others don’t think that even this bit is there, see this by Steve Hsu). The New Scientist article ends:

…says Susskind. “If it turns out to be positively curved, we’d be very confused. That would be a setback for these ideas, no question about it.”

Until any such setback the smart money will remain with the multiverse and string theory. “It has the best chance of anything we know to be right,” Weinberg says of string theory. “There’s an old joke about a gambler playing a game of poker,” he adds. “His friend says, ‘Don’t you know this game is crooked, and you are bound to lose?’ The gambler says, ‘Yes, but what can I do, it’s the only game in town.’ We don’t know if we are bound to lose, but even if we suspect we may, it is the only game in town.”

The arguments for string theory have evolved over the years, with the “it’s the only game in town” one being made starting fairly early on. Weinberg seems to be willing to go for a new variant of this, that not only is it the only game in town, but it’s probably crooked (i.e. can’t possibly work, is obvious pseudo-science…), and this doesn’t matter, one should continue anyway.

It has become increasingly clear to me in recent years that there is a large cohort of people who have so much invested in string theory that they will never, ever give up on the idea of string theory unification, no matter how clear it becomes that the game is crooked and not legitimate science. They will be active and with us for a long time, but the idea that there has been “recent progress in both cosmology and string theory … bringing about a major shift in thinking”, causing the majority of physicists to sign on to this is nonsense. Quite the opposite is true, with the increasingly obvious problems with string theory causing non-string theorists to shun the subject and avoid hiring anyone who works on it.

The New Scientist article is also available here, and if you want more recent multiverse promotional material, there’s this. Finally, a panel discussion on this was held at the Origins symposium at ASU recently, and is now available on-line.

Update: The torrent of string theory hype seems to continue unabated, with claims that the Planck satellite will tell us something about string theory (see here):

The results could also offer insights into the much vaunted string theory – science’s big hope for a unified theory of everything. The idea involves a complex 11-dimensional universe, with seven ‘hidden’ dimensions on top of the four observable dimensions of space and time.

Professor Efstathiou said: “The potential for fundamental new discoveries that will change our understanding of physics is very important and that is what I’m really hoping for with Planck.

“We might find signatures of pre-Big Bang physics. We might find evidence of cosmic defects – superstrings in the sky.

“Unravelling the physical information may tell us something about the warped geometry of the hidden dimensions.”

Posted in Multiverse Mania, This Week's Hype | 42 Comments

The Strangest Man

When I was in Edinburgh I picked up a copy of Graham Farmelo’s new biography of Dirac. It’s entitled The Strangest Man: The Hidden Life of Paul Dirac, Quantum Genius, and is not yet available in the US. I read the book on the plane trip back to New York and very much enjoyed it. While I’ve read a large number of treatments of the history and personalities involved in the birth of quantum mechanics, this one is definitely the best in terms of detail and insight into the remarkable character of Paul Dirac. I gather that Farmelo had access to many of Dirac’s personal papers, and he uses these well to provide a sensitive, in-depth portrait of a man who often is reduced to a bit of a caricature.

The book is less of a scientific biography than the other book about Dirac I know of, Helge Kragh’s 1990 Dirac, A Scientific Biography, and emphasizes more the development of Dirac’s personality and the story of his relations with others, especially with his father, his mother, and his wife (who was Wigner’s sister). I learned quite a lot about Dirac that I’d never known before, including for instance the story of his work on the atomic bomb project during WWII.

Dirac is responsible for several of the great breakthroughs in 20th century physics. At the age of 23, while still a graduate student, he took Heisenberg’s ideas and found the fundamental insight into what it means to “quantize” a classical mechanical system: functions on phase space become operators, with the Poisson bracket becoming the commutator. This remains at the basis of our understanding of quantum mechanics, and Dirac’s textbook on the subject remains a rigorously clear explanation of the fundamental ideas of quantum theory. Two years later he found the correct relativistic generalization of the Schrodinger equation, the Dirac equation, which to this day is at the basis of our modern understanding of particle physics. This equation also turns out to play a fundamental role in mathematics, linking analysis, geometry and topology through the Atiyah-Singer index theorem. Around the same time, Dirac was one of the people responsible for developing quantum field theory and quantum electrodynamics, as well as coming up with an understanding of the role of magnetic monopoles in electromagnetism.

The period of Dirac’s most impressive work was relatively short, ending around 1933. By 1937, the year he married, Farmelo reports Bohr’s reaction to reading Dirac’s latest paper (on the “large numbers hypothesis”):

Look what happens to people when they get married

Farmelo discusses a bit the question of why Dirac never later achieved the same sort of success after the dramatic initial period of his career. There may be a variety of reasons: the open problems got a lot more difficult, marriage and celebrity changed the way he lived and work, the war intervened, etc. For the rest of his career, Dirac took the attitude that there was something fundamentally wrong with QFT, and this may be why he stopped making fundamental contributions to it. He believed that a different sort of dynamics was needed, one that would get rid of the problems of infinities. He never was happy with renormalization, either in the form used to do calculations in QED after the war, or the more sophisticated modern point of view of Wilson and the renormalization group.

Unfortunately, some of the later parts of Farmelo’s book are marred by an attempt to enlist Dirac in the cause of string theory. This starts with the claim that Dirac’s work on “strings” during the fifties should be seen as a precursor of present-day string theory. These “strings” occur in the context of QED and magnetic monopoles, where they are unphysical artifacts of a choice of gauge, and have very little to do with the modern-day interest in physical strings as a basis for a unified theory.

Farmelo sees string theory as a resolution of the problem of infinities that Dirac would have approved of:

What would surely have impressed Dirac is that modern string theory has none of the infinities he abhorred.

I don’t see any reason at all to believe that Dirac would have been impressed with the idea of resolving the problems of QFT that bothered him by replacing it with a 10-dimensional theory that, despite the endless hype, has its own consistency problems (its perturbation expansion diverges, just like that of QFTs, and, unlike QFT, a 4d non-perturbative theory remains unknown). String theory was around for at least a dozen years before Dirac’s death, I’m sure he had heard about it, and there is no evidence he took any interest in the idea. Farmelo reports the reaction Pierre Ramond got from Dirac in 1983 when he tried to sell him on the idea of replacing 4d QFT with a higher-dimensional theory:

So he asked Dirac directly whether it would be a good idea to explore high-dimensional field theories, like the ones he had presented in his lecture. Ramond braced himself for a long pause, but Dirac shot back with an emphatic ‘No!’ and stared anxiously into the distance

The book ends with long discussion of Dirac and string theory that I think is seriously misguided, but it does include a mention of the fact that many physicists are unconvinced by the idea of string theory unification. Veltman is quoted, and the last footnote in the book refers the reader to Not Even Wrong.

Dirac is famous among physicists for his views on the importance of the criterion of mathematical beauty in fundamental physical law, once writing:

if one is working from the point of view of getting beauty in one’s equation, and if one has really sound insights, one is on a sure line of progress.

Farmelo believes that Dirac “would have revelled in the mathematical beauty” of string theory, but this is based on an uncritical acceptance of the hype surrounding the question of the “beauty” of string theory. “String theory” is a huge subject, and one can point to some mathematically beautiful discoveries associated with it, but the attempts to use it to unify physics have led not to anything at all beautiful, but instead to the landscape and its monstrously complex and ugly constructions of “string vacua” that are supposed to give the Standard Model at low energies.

I very much share Dirac’s belief that fundamental physics laws and mathematical beauty go hand in hand, seeing this as a lesson one learns both from history and from any sustained study of mathematics and physics and how the subjects are intertwined. As it become harder and harder to get experimental data relevant to the questions we want to answer, the guiding principle of pursuing mathematical beauty becomes more important. It’s quite unfortunate that this kind of pursuit is becoming discredited by string theory, with its claims of seeing “mathematical beauty” when what is really there is mathematical ugliness and scientific failure.

Ignoring the last few pages, Farmelo’s book is quite wonderful, by far the best thing written about Dirac as a person and scientist, and it’s likely to remain so for quite a while. Definitely a recommended read for anyone interested in the history of the subject, or some insight into the personality of one of the greatest physicists of all time.

Posted in Book Reviews | 27 Comments

Atiyah80

Last week I was in Edinburgh for a few days and managed to attend the last two days of the conference in honor of Sir Michael Atiyah’s 80th birthday. Atiyah is now retired, but he was one of the dominant figures in mathematics during the second half of the twentieth century, as well as perhaps the person most responsible for bringing together mathematicians and physicists around issues of common interest in geometry and physics. His interactions with Witten played an important role in several major developments, including the whole idea of “topological quantum field theory”. One major part of my mathematical education was spending quite a lot of time for a few years reading through Atiyah’s collected papers. He is at all times a very lucid writer, with his expository writings quite marvelous and uniformly worth reading.

The biggest news at the conference was the announcement by Mike Hopkins of his solution (with Mike Hill and Doug Ravenel) of most of an old problem in topology that goes back to the sixties, known as the Kervaire invariant problem. Hopkins in his talk labeled the new theorem a “Doomsday Theorem”, because it nearly finishes off the subject it deals with, by ruling out the existence of a certain class of possible interesting topological invariants in all the remaining open cases except one. I wasn’t looking forward to trying to explain this here on the blog, since what is involved are issues in stable homotopy far beyond my expertise, so I was pleased to find this morning that others have beat me to it with explanations. The slides from his talk are here, John Baez has a posting here (including a comment from Hopkins here), and the news was spread to the ALGTOP mailing list here.

Another report of impressive progress on a problem was Simon Donaldson’s talk on the problem of showing that a Fano manifold has a Kahler-Einstein metric if and only if it is stable. This is one of the big open problems in complex geometry, and Donaldson discussed the appropriate notion of stability and outlined a strategy for getting a proof. He is not claiming a proof, with significant work still to be done, but experts seem to believe that the goal is now within sight and the next few years will see a resolution of this problem.

Unfortunately I arrived too late at the conference to hear Witten’s talk, the slides of which are available here. He is continuing his work of the past few years on Geometric Langlands. Dijkgraaf gave a nice talk reviewing a wide range of topics connected in one way or another with topological strings. Perhaps his slides will soon become available, but the topics covered were similar to those of his talks at UCSB last spring (see here). Vafa gave a rather clear explanation of his program to try and get particle physics out of local F-theory models. I’m not convinced this does more than reinterpret GUT extensions of the standard model using quite complicated constructions, but you can see for yourself here. He didn’t talk about the crucial question of whether this approach makes distinctive predictions about supersymmetry breaking testable at the LHC.

One evening was devoted to a public program about the Higgs particle, with a panel discussion featuring Higgs himself. It was not clear to me how much got through to the public about the electroweak symmetry breaking issue and what we hope to learn at the LHC. As always, some of the public wanted to know about what string theory has to do with this question. Unfortunately they were not given the simple, accurate and easy to understand answer “nothing at all.”

Update: The web-site for the conference is here, and conference organizer Andrew Ranicki has set up another web-site here for various materials associated with the conference.

Update: Videos of the talks at Atiyah80 are now available at the web-site linked to above.

Posted in Uncategorized | 16 Comments

Atiyah-Singer String Index Theorem

Just made it to Edinburgh for the Atiyah conference. It seems that someone at a local newspaper really wants to get my goat. See the story headlined World’s Great Minds Gather to Celebrate Atiyah’s Birthday.

Update: Will try and write more about the conference soon. At least one string theorist argues for the new name for the index theorem, on the grounds that it is used in string theory. When I get back to Columbia I think I’ll tell my Calculus students about the Taylor string series….

Posted in This Week's Hype | 23 Comments