String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. It also gives one a feeling for how Arkani-Hamed works through problems. In this talk, I will review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. 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. Really amazing work! In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. There will also be a gong show session of 5-minute talks by PhD students and a poster session using Zoom breakout rooms. I will then outline work in progress with Gunningham and Safronov to prove the conjecture in a number of special cases. Abstract: One aspect of the relation between physics and arithmetic geometry is the conjectured correspondence between supersymmetric flux vacua and weight-2 modular CY threefolds. 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. In the ending remark, Ooguri makes the observation that the percentage of speakers older than him is roughly a linear function (64-2x)% where x is the number of years after his PhD. 2. [Slides]. [Slides] [Video], Sunghyuk Park (California Institute of Technology) This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. Albrecht Klemm 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. Based on 2103.10271, 2111.07663 and upcoming work. Exactly because of this. Talks are available for watching every day via Youtube, links are on the main page. [Slides] [Video], Fabian Ruehle (Northeastern University) This goes without saying all technically challenging fundamentally important problems required for superstring theory unification be at least mathematically self-consistent have been left unanswered. Title: On topology change in Poisson-Lie T-duality Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] it is true that experiments are real physics. We provide significant evidence that averaging plays an important role in reproducing. Of course, these are people. He discusses the swampland philosophy, but gives as a challenge to theorists just making more precise the sort of empty question that this philosophy deals in (he asks whether D=9 SU(2021) to the power 2021 is in the swampland). [Slides], Peter Spacek (TU Chemnitz) [Slides] [Video], Lauren Williams (Harvard University) W roku 2019 otrzymaa nagrod Fermata oraz nagrod Ruth Lyttle Satter przyznawan przez Amerykaskie Towarzystwo Matematyczne, a w roku 2020 nagrod Europejskiego Towarzystwa Matematycznego. Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. Title: Elliptic trace map on chiral algebras Piotr Kucharski (University of Amsterdam) Sheldon Katz (University of Illinois) One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. Probably the best answer. In the limit of large covering, we arrive at an even more fine grained picture and see how the moduli space of string worldsheets arises fromthe dual CFT. String Math 2021 - Lara Anderson (Virginia Tech) - YouTube IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Lara Anderson (Virginia Tech)Lecture title:. How to transform string into integers and operators in Javascript? Nigel Hitchin (University of Oxford) 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). This is exactly the place where you should be using eval(), or you will have to loop through the string and generate the numbers. 2013 Jul. Additionally, Evaluator.js intelligently reports invalid syntax, such as a misused operator, missing operand, or mismatched parentheses. This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. In this case, because the string is assumed to be safe and trusted, we would expect use of either eval() or the Function constructor to be reasonable. While Ooguri has his own interpretation about this observation (incoming flux of young people in the field is as healthy as ever), I wonder what others think about it. Enter your email address to subscribe to this blog and receive notifications of new posts by email. In my view, this anxiety to communicate to the public the latest developments is a sign of certain immaturity. This story also relates to the higher-form global symmetry. Asking for help, clarification, or responding to other answers. Liouville theory appeared there under the form of a 2D Feynman path integral and since then has appeared in a wide variety of contexts (random conformal geometry, SUSY Yang-Mills, etc). How useful this will be will depend on the symmetries you have available. 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. Mark Gross Much as I love this general topic, its getting far from the topic of the posting, so Ill just advise: read my book. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization Off topic, but the European congress of Mathematics has finished up. Since it's online only, talks are much more accessible than usual (and since it's free, over 2000 people have registered to in principle participate via Zoom). Philip Candelas Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. How do I connect these two faces together? String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. 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). Lectures at St. Ottilien: Quantum Symmetries and K-Theory. This is a joint work with K. Ohmori (U. Tokyo). Miosz Panfil I did watch fully the discussions I wrote about here, also took a look at many of the others. Nevertheless, from a theory claiming to be the only mathematically self-consistent unification program, something regarded as just a mere technicality now requires an answer. Quantum physics studies the smallest objects in the universelike atoms and subatomic particleswhile general relativity typically focuses on larger-scale objects in the universe. Check this JSBenchmark. String Math 2021 - Si Li (Tsinghua University) 848 views Jun 15, 2021 27 Dislike Share Instituto de Matemtica Pura e Aplicada 100K subscribers IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Simon Donaldson (Imperial College)Lecture title: Calibrated geometry and gauge . I will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. Title: Integrability check for open quantum systems in Krylov Space String theory is now older than not just my students, but also many of their parents and unfortunately its very well-established, sometimes even taught to high school students. You wrote Georgios Linardopoulos (Wigner Research Centre for Physics) Follow In this talk, we will explain how to compute concrete equations of mirrors to blow-ups of toric varieties in the framework of the GrossSiebert program. In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. Hope you will find them as a useful starting point. It is healthy. String theorists are for the most part no longer actively pursuing connecting to particle physics of the real world. 1+ 2 *2' // 5 but ' 1 + +2* 2 ' // Error, This shows to be more performant than @vol7ron's solution. Particularly, the change of variable relating $SU(2)$ link invariants to the $SO(3)$ \& $OSP(1|2)$ link invariants plays a crucial role in explicitly writing the $q$-series. Other than that, I'd use eval in this case. We engineer these models using toric geometry techniques to construct non-compact threefolds that manifestly have multiple fibrations and hence M/F-theory lifts. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. Strings 2021 started today, program is available here. We have a lunch on the 4th floor of Physics South before the seminar. In the present talk we show that the string theory duals of these systems are classically integrable. I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. Just viewed the last question and answer session. In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. Determinant operators in the chiral algebra insert Giant Graviton branes in the dual geometry. During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Ironically, the very fact that he had to refer to it at all should alarm them. Richard Thomas ), one would at least expect that a well-behaved asymptotically perturbation series follows as one takes into account contributions from all the moduli parameters of Teichmller spaces of Riemann surfaces with higher genus and market points. David Ben-Zwi How is the idea that particles are irreducible representations of the Poincar group work in the context of quasiparticles in condensed matter physics, where the underlying system background is generally not symmetric under Poincar transformations (e.g. I suppose I shouldnt have even let that get started. 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. All major operations, constants, and methods are supported. We present a novel construction of such flux vacua in permutation-symmetric multiparameter compactifications, and develop methods for efficiently computing the zeta functions of the corresponding geometries. Abstract: Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Alba Grassi (CERN)Lecture title: Painlev equations, quantum operators and gaug. One reason for this being a real mistake is that, divorced from input from the real world, theory becomes sterile: Questions Posed by Nature are Vastly Deeper and more fruitful than ones we humans tend to pose for ourselves. Title: A Yang-Mills matrix theory So please stop it with this idea that criticising string theory, as Peter does, is not good nor an honest way to communicating about science. In our examples we find agreement with the flux modularity conjecture of Kachru, Nally, and Yang. Abstract: Gross and Siebert developed a program for understanding mirror symmetry algebro-geometrically. Only if the string comes from a trusted source. It's december of 2021, and the java world has been rattled by a log4j vulnerability. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. See a live demo on the website. Abstract: I will explain how to explicitly calculate knot homology using the Fukaya category associated to a 2d Landau-Ginsburg theory, which is the equivariant mirror of the Coulomb branch of a 3d $mathcal{N}=4$ theory. The original sphere packing problem in dimension 3 is known as Keplers conjecture and it was famously solved by Thomas Hales at the very end of the twentieth century. You are either blinded or so convinced by the idea that string theory has nothing to say about Physics, that you pick any phrase that adds to your view of things. Title: Non-Invertible Symmetries and Higher-Categories [Slides] [Video], Mayuko Yamashita (Kyoto University) Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? Whats really bizarre about the current situation is that string theory has completely decoupled from any well-defined proposal for an actual 3+1 d unified theory of gravity and the SM, while at the same time its proponents claim it is the only game in town. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. 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. Share. Poor fool that I am, Adrian, how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). Title:Landau-Ginzburg models for cominuscule homogeneous spaces Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] They have obvious applications to atomic physics. Abstract: During my presentation, I will discuss certain equivalences between conformal field theories with a continuous spectrum: Liouville theory, its supersymmetric extension, and models based on the affine su(2) algebra with irrational level. String Math Summer School. (ii) Every-time I receive a grant report asking for resources, penned by a senior string theorist, Im already able to guess the 1st lines: ST is the only mathematically consistent candidate for understanding quantum gravity while providing a framework potentially unifying all know fundamental interactions. I could go on the whole night, but I believe, as most other string theorists do, there are more urgent or at least doable problems to solve now. If you want to be added to the seminar mailing list, use this link https . He lists two main things we know about the supposed theory: 1. (UoS & CNRS) Quantum G & of Looijenga pairs Berkeley String-Math 2021 Overview The two main messages: 1ve (different, but equivalent) string-theory motivated enumerative theories built from (X;D) 2they are all closed-form solvable Joint with P. Bousseau (ETH Zrich/Saclay) and M. van Garrel (Warwick/Birmingham). Another series of talks that I took a look at and that I can recommend is Nima Arkani-Hameds lectures on Physics at Future Colliders at the ICTP summer school on particle physics. Making statements based on opinion; back them up with references or personal experience. But the time, the community (and the arXiv) takes care of these mistakes. Physics Meets AI, LMU Munich, September 2020. All, The program is based on two main ingredients: The complex geometry of the underlying moduli spaces on the one hand, and cluster algebra structures defined by BPS- or DT-invariants on the other hand. Our conjecture, which we have developed with Ben-Zvi, Gunningham and Safronov, asserts an equality of dimensions between the G- and G^L-skein modules of a 3-manifold at generic quantization parameter. You are possibly right its now pointless to debate those issues. 5. Za te oraz inne osignicia otrzymaa wiele prestiowych nagrd i wyrnie, m.in. StringStringfinal . Abstract:We discuss abelian 3d N=2 theories T[,U(1)] engineered by plumbing manifolds . [Slides], Meng-Chwan Tan (National University of Singapore) Why are trials on "Law & Order" in the New York Supreme Court? Title: From BPS crystals to BPS algebras StringBufferStringBuilder 1.
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