This talk is based on joint work with Si Li. Lectures at St. Ottilien: Quantum Symmetries and K-Theory. Evaluator.js is used by a desktop calculator application of the same name. As a result, he sees the current situation as. TheAttractor Flow Tree conjecture postulates that the BPS index $\Omega(\gamma,z)$ for given charge $\gamma$and moduli $z$ can be reconstructed from the`attractor indices $\Omega_*(\gamma_i)$ counting BPS states of charge $\gamma_i$ in their respective attractor chamber, by summing over all possible decompositions $\gamma=\sum_i \gamma_i$ and over decorated rooted flow trees. I will first sketch a broad approach to systematically understand the underpinnings of this still mysterious connection between gauge theories (in the large N limit) and perturbative closed string theory. The knot homology is calculated from homs between particular branes, and we are able to construct projective resolutions of these branes in terms of thimbles, making the computation entirely algebraic. The String Math series of conferences have become an important event for anyone working at the interface between mathematics and theoretical physics (string theory, quantum field theory and adjacent topics), bringing together an interdisciplinary cohort of pure mathematicians and theoretical physicists. His second talk explains how to think of things in terms of classifying representations of the Poincare group, an old topic that unfortunately is often no longer taught (see chapter 42 of my QM textbook). How to format a number with commas as thousands separators? I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. commutative) spacetime case is well-known to yield the Yang-Mills(-Higgs) theory, namely almost-commutative manifolds, has to be replaced by its fuzzy counterpart already the classical level. Jerome Gauntlett, Rajesh Gopakumar, Mariana Grana, Michael Green, David Gross, Daniel Grumiller, Jeff Harvey, Marc Henneaux, Veronika Hubeny, Marina Huerta, Janet Hung, Antal Jevicki, Clifford Johnson, Shamit Kachru, Zohar Komargodski, Finn Larsen, Yolanda Lozano, Kimyeong Lee, Dieter Luest, Juan Maldacena, Shiraz Minwalla, Jeff Murugan, Rob Myers, Hirosi Ooguri, Leo Pando-Zayas, Silvia Penati, Fernando Quevedo, Eliezer Rabinovici, John Schwarz, Nathan Seiberg, Ashoke Sen, Steve Shenker, Eva Silverstein, Wei Song, Andy Strominger, Tadashi Takayanagi, Sandeep Trivedi, Cumrun Vafa, Pedro Vieira, Anastasia Volovich, Spenta Wadia, Edward Witten, Konstantin Zarembo. Andrew Neitzke - Yale University Mark Gross We can exhibit for instance a duality between a trivial bundle with abelian isometries and a non-trivial *bibundle* with a nonabelian Poisson-Lie group action. String Math Summer School. Title: Magnetic quivers for Superconformal Field Theories [Slides] [Video], Fabian Ruehle (Northeastern University) Share. We therefore relate differential and enumerative geometry, topology and geometric representation theory in mathematics, via a maximally-supersymmetric topological quantum field theory with electric-magnetic duality in physics. 2. Talks are available for watching every day via Youtube, links are on the main page. [Slides] [Video], Wei Li (Chinese Academy of Sciences) Robert A. Wilson, With what result? Any consistent theory of quantum gravity should reproduce this semiclassical limit. Abstract: We revisit Vafa-Witten theory in the more general setting whereby the underlying moduli space is not that of instantons, but of the full Vafa-Witten equations. Notes (with animations), Video. Physically, flow treesprovide a mesoscopic representation of BPS states as nested multi-centered bound states of elementary constituents. https://sites.google.com/unifi.it/scri21/program What is the point of Thrower's Bandolier? We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. However, I have provided a pure JS solution (w/o eval). One can also Higgs chiral multiplets. Abstract: Cosmic censorship as a conjecture about classical General Relativity is now understood to be false in both higher dimensional asymptotically flat space and four-dimensional AdS. Title: Elliptic trace map on chiral algebras Physics Meets AI, LMU Munich, September 2020. Abstract: The spectrum of BPS states in D=4 supersymmetric field theories and string vacua famously jumps across codimension-one walls in vector multiplet moduli space. Enjoy, This solution also clips whitespaces and checks for duplicating operators, e.g. ' String Math 2021 IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online event The series of String-Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. This story also relates to the higher-form global symmetry. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. Abstract: I will explain some recent and ongoing work on the state spaces associated to 3-manifolds in the Kapustin-Witten twists of 4d N=4 SYM. What video game is Charlie playing in Poker Face S01E07? So, does anyone know about alternatives to eval()? Every other answer either uses ify regular expressions or use. Wittens answer is that this was just a vague hope, that the duality ideas are now 25 years old, we havent progressed beyond them, need something new. T-duality then becomes a fibre-base duality of the threefold which allows us to compute the little-string-charges directly from the Kac labels of the dual gauge groups. String Math 2021 - Simon Donaldson (Imperial College) - YouTube Abstract: Holographic tensor networks are discrete models of AdS/CFT that satisfy complementary recovery of quantum information and the Ryu-Takayanagi formula, which relates the boundary entanglement entropy to the area of extremal surfaces in the bulk. Nicolai Reshetikhin The series of String-Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. Title: A Yang-Mills matrix theory Strings 2021 started today, program is available here. Berkeley Informal String-Math Seminar I hadn't known about this until your post. To summarize the situation, now as it has ever been: 1. He never actually gets anywhere near discussing the topic of the title for the talks, but does give a very nice leisurely introduction to computing amplitudes for zero-mass particles. [Slides], Martin Bies (University of Pennsylvania) Paraphrasing Fermat, I have discovered the ugly truth of this, which this margin is too narrow to contain. Nevertheless, it may be worthy registering on this blog some of those problems which arent enough emphasized. Nikita Nekrasov It would differ in rare case, if this function evil() itself declared some variables which would want to be. Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. 5. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] Correlation functions in the worldsheet theory on AdS_3 are shown to agree with those of the dual CFT_2, with both being given in terms of branched covers. Yuji Tachikawa Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). Others clearly feel differently and think this is of huge significance. Abstract: I will explain how to construct BPS algebras for string theory on general toric Calabi-Yau threefolds, based on the crystal melting description of the BPS sectors. Physical Review, 85(4), p.631. June 14-18: Pre-Strings 2021 school (IIP, Natal), [D] Nima Arkani-Hamed (Institute for Advanced Study), [T] Horacio Casini (Centro Atmico Bariloche), [T] Lorenz Eberhardt (Institute for Advanced Study), [T] Clifford Johnson (U of Southern California), [D] Vladimir Kazakov (Ecole Normale Superieure), [T] Zohar Komargodski (Simons Center for Geom. As you probably guess from my former comments under the present pseudonym, Im one of those students whom, maybe for lacking courage or ,who knows? Just like in the smooth case, one can ask about the multiplicities of BPS states that now carry an additional discrete charge. We provide significant evidence that averaging plays an important role in reproducing. In the presence of chiral multiplets that are added to plumbing graphs, we show that ST-transformations lead to many equivalent plumbing theories, and hence generalize the scope of Kirby moves. The next String Math conference will take place on July 10-14, 2023, at the University of Melbourne in Australia. LQG calculations claim to reproduce the semi-classical limit. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. operators, and function (e.g. [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . The only message I hear repeatedly is that String theory is the only game in town. Edward Witten (Institute for Advanced Study) [Slides], Elise LePage (University of California, Berkeley) How to store objects in HTML5 localStorage/sessionStorage. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. I watched the entire video on the Poincare group and, although the path was the same as Weinberg, there was a lot of new information I thought it was excellent. Davide Gaiotto String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. Theres a long list of things they are talking about under the name string theory, with the generic problem that the ones that are reasonably well-defined have nothing to do with the real world (e.g., wrong dimension). A ternary string is a sequence of n symbols that has some of the digits 0, 1, 2. de Lausanne), [D] Nathan Seiberg (Institute for Advanced Study), [T] Ashoke Sen (Harish-Chandra Research Institute), [R]Shu-Heng Shao (Institute for Advanced Study), [T] Yuji Tachikawa (Kavli IPMU and U of Tokyo), [T] Gregory Tarnopolsky (Carnegie MellonU), [T] Gonzalo Torroba (Centro Atmico Bariloche), [D] Edward Witten (Institute for Advanced Study), [G] Ahmadullah Zahed (Bangalore Indian Inst. Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. String Math 2021 - Mina Aganagic (UC Berkeley) Instituto de Matemtica Pura e Aplicada 115K subscribers Subscribe Share 926 views 1 year ago IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned. Strings 2021 - ICTP - SAIFR Abstract: Quantum curves can be associated with the singular vectors in the Verma modules over the Virasoro algebra. Theres no reason to get into the technical argument over whether the perturbative expansion of various versions of the superstring in 10d is mathematically well-defined. Equivalent plumbing graphs suggest dual theories. The video answered some questions that I still had (e.g. String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. CEIs should be thought of as a precise realization of the general idea, due to Kontsevich, that the category of open strings (plus data of the splitting) determine closed string invariants. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. David Ben-Zwi Joerg Teschner (DESY) Boris Pioline (Universit Pierre et Marie Curie) [Slides] [Video], Maxim Kontsevich (IHS) We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. The real stuff happens in physics without a press release, book, or blog. crickets]. When the cohomology theory is the Morava E-theory, we obtain a new family of quantum groups labelled by a prime number and a positive integer. Hirosi Ooguri (Caltech & IPMU) Our starting point will be the observation that a rich source of discrete gauge symmetries in M-theory are Calabi-Yau threefolds with singularities that cannot be crepantly resolved. Title: The Penrose Inequality as Swampland Condition? We investigate a two-dimensional chiral analogue of the algebraic index theorem via the theory of chiral algebras developed by Beilinson and Drinfeld. In 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. Abstract: In this talk, I will revisit the construction of heterotic ALE instantons and the corresponding T-dual systems in 6D little string theories (LSTs).
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