string math 2021
Title: Holographic tensor networks from hyperbolic buildings 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. Research | Hirosi Ooguri We study an open quantum many body spin system to check whether its integrable and chaotic regimes can be distinguished by looking at the non-unitary dynamics of a simple operator in Krylov space. Little string theories also possess T-duality as well as higher form- and group symmetries. lun, Jim Halverson 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). People are attempting to understand things, with the tools at hand. [Slides]. I agree with Felix. 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. As a result, he sees the current situation as. Of course, these are people. Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory It seems that no one in the string theory community dares to publicly breathe a word of skepticism. The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. Reimundo Heluani Organizing Committee. ), 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. Title:Landau-Ginzburg models for cominuscule homogeneous spaces Abstract: Three-manifold invariants $\hat Z$ (Z-hat), also known as homological blocks, are $q$-series with integer coefficients. In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. The two-step procedure involves first finding points on the Calabi-Yau manifold and then approximating the Ricci-flat metric by approximating solutions to the underlying Monge-Ampere equation. This is a joint work with K. Ohmori (U. Tokyo). 3. It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. +1 upvote from me, and I've already used it in a project. What I wanted with my post was to point out that (in my view, again), you were selecting particular phrases that sounded negative, in what other wise were quite interesting exchanges among physicists. Abstract: Homological block, commonly denoted by , is a 3-manifold invariant whose existence was predicted by S. Gukov, D. Pei, P. Putrov, and C. Vafa in 2017 using 3d/3d correspondence. Greg Moore Abstract: We implement the unitary equivalence of modular Hamiltonian $hat{H}_{mathrm{mod}}$ and Hamiltonian $hat{H}$,$hat{H}simhat{U}^{dagger}hat{H}_{mathrm{mod}}hat{U}$, to realize the emergence of time from an unitary operator $hat{U}$. That looks nothing like the real world, and as Minwalla points out, no one at the Strings conference is even talking about that sort of string theory anymore. nagrod Salema, nagrod Matematycznego Instytutu Claya, nagrod New Horizons in Mathematics. This is based on joint work with Raghavendran. We propose that the matching of 5d coulomb branches plus the 2-group structure constants determined by the higher form symmetry of LSTs as criteria to predict heterotic T-dual candidates.The exploitation are generalized by picking non-trivial flat connections at the infinity to break E8 and Spin(32)/Z2 into their subgroups and confirm these T-dualities by the matching of criteria aforementioned. As has been the case for many years, it doesnt look like there will be anything significantly new on the age-old problems of getting fundamental physics out of a string theory. This gives the symmetry algebra action on the categorifiedDT. Title: Topological Langlands duality and 1-form symmetries Over-claim? Update: At String 2021, yesterday Nima Arkani-Hamed gave a talk on Connecting String Theory to the Real World We See Outside Our Windows, where he sometimes sounds like me, contrasting the pre-LHC claims of string theorists: 1. While such boundary conditions are not compatible with topological twists, deformations that define boundary conditions for the topological theories were recently introduced by Costello and Gaiotto. [Slides], Pawe Ciosmak (IDEAS NCBiR) Does a barbarian benefit from the fast movement ability while wearing medium armor? how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction In the case of rank one instantons this factors through a `Heisenberg type super Lie algebra and the story is analogous to Nakajimas action on the Hilbert scheme. 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. Pyry Kuusela (University of Oxford) People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. Calculate string value in javascript, not using eval, How Intuit democratizes AI development across teams through reusability. Miosz Panfil He mentions that one basic problem with this is that there is no understanding of what happens in time-dependent backgrounds, so, in particular, this is useless for addressing the big bang, which is the one place people now point to as a possible connection to real world data. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. [Slides] [Video], Heeyeon Kim (Rutgers University) [Slides], Muyang Liu (Uppsala University) How would you please implement. Announcement String Math 2022 Lorenz Eberhard(IAS) String correlators on AdS3 17:00 - 17:50 14:00 - 14:50 Melissa Liu(Columbia University) Wall-Crossing for the Mirror Quintic . Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. How do I connect these two faces together? This community is indeed becoming like a religious cult, something one of the speakers explicitly denied. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. Motived by (twisted) holography (following Costello, Gaiotto, Li, and Paquette) we find a holomorphic model describing the minimal twist of the six-dimensional theory. These models share the general structure of the so-called canonical LG-models; constructed by Marsh, Pech, Rietsch and Williams for Grassmannians, Lagrangian Grassmannians and quadrics, and we will discuss our ongoing efforts in unifying the models into a type-independent canonical model. Author: Online2PDF.com Created Date: How to format a number with commas as thousands separators? Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. Note : There is no library used in this solution purely hard coded, My solution takes into account of brackets also like 8+6(7(-1)) or 8+6(7(-1)), You can do these operations ^, *, /, +, -, To calculate a string use calculate(tokenize(pieval("8+6(7(-1))").join(""))). Webinars - hand2mind The video is available here , and . A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. Its explicit description as a QFT has remained elusive. These symmetries vastly generalize the standard notion of global symmetries, and can be used in a similar way to obtain insights into strongly-coupled physical phenomena. Condensed matter physics is a quite different story. I will argue that they are encoded in the topological string partition functions of the singular Calabi-Yau itself and its various non-commutative resolutions. Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. Western Hemisphere Colloquium on Geometry and Physics - UC Santa Barbara All, Jackiw-Teitelboim/PeterH, The unitary equivalence relation implies a duality between the modular flow and time evolution. The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. Abstract: Recently there has been lots of activity surrounding generalized notions of symmetry in quantum field theory, including categorical symmetries, higher symmetries, noninvertible symmetries, etc. You can sanitize the string with a regex first to be safe: If you wanted another method, you'd have to use a pure Javascript implementation of the exact thing eval is going to do. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. [Slides] [Video], Edward Witten (IAS) We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. Title: Categorical Enumerative Invariants operators, and function (e.g. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. The recording of the lecture can be found here. The key steps in this equivalence is a probabilistic derivation of the DOZZ formula for the structure constants, the spectral analysis of the Hamiltonian of the theory and the proof that the probabilistic construction satisfies certain natural geometrical gluing rules called Segals axioms. What am I doing wrong here in the PlotLegends specification? 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. The simplest example is the qubit. As Peter keeps on repeating, the denial of the string community to acknowledge the failure of string theory as a unification theory (which is nothing to be ashamed off: physics is full of beautiful theory that are not correct) is a shame for the physics community. How do I align things in the following tabular environment? This will be done in the language of QP manifolds/symplectic L-infinity algebroids which is convenient for showing the duality is a canonical transformation in string phase space, and also provides glimpses of a generalisation towards U-duality and higher branes. Cookies and PrivacyAboutEventsNews 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). The EMS prizes are always a good indication of future Fields medalists LQG calculations claim to reproduce the semi-classical limit. I just took a look at that session and thought one remarkable point was where people were asked what would cause you to give up on string theory? The only answers forthcoming were from Igor Klebanov, who said he had been working on it his whole life, so couldnt see himself giving up on it, and Ashoke Sen, who said he would only give up on it if it were shown to be mathematically inconsistent. , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, [Slides], Shi Cheng (University of Warsaw) Ill explain this phenomenon, and propose a new effective algorithm for the calculation of the spectrum which is not based on quantum algebra at all (joint work in progress with A. Soibelman). Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] 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. I believe that your permanent opposing the string hypes is good and welcomed. The corresponding Gopakumar-Vafa invariants provide a discrete refinement of the invariants associated to the smooth deformation. Title: A Yang-Mills matrix theory Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. There are many equivalent graphs that are related by Kirby moves which are interpreted as integrating out gauge nodes from the perspectives of 3d theories. Workshop on Categorification and geometric representation theory. Jacek Paweczyk The qubit example is a bit unfair since in some sense its the quantization of the sphere, although this sphere is not a classical limit of the quantum theory (and sphere isnt a cotangent bundle of some configuration space). Is it possible to create a concave light? Title: Homological blocks and R-matrices If one knows how to read between the lines, then at this lecture you finally can hear what, in different words, could well be re-phrased as: the search for M-theory using dualities failed. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Goodbye eval()! A better version was given September 22, 2021 at Yan Soibelman's M-seminar. Shing-Tung Yau (Harvard University), The interpretation of semiclassical gravity as an average of CFTs has provided much progress in understanding the factorization problem and the information paradox. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. Ivan Ip's Homepage - Hong Kong University of Science and Technology Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity This talk is based on joint work with Xenia de la Ossa, arXiv:2111.13221. But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) String Math 2021 - Mina Aganagic (UC Berkeley) - YouTube Unit 3 - String, Math | APCS This talk is based on joint work with Si Li. Jednym z najwaniejszych osigni Maryny Viazovskiej jest rozwizanie tzw. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. Besides reviews of major developments in the field and specialized talks on specific topics, an important novelty will be several informal discussions involving two researchers and the conference participants. If youre so concerned about the public or physics community getting misled, surely youve contacted the organizers of and participants in the conferences Outreach activities , To this I was referring with my phrase Strings 2021 will be held online during the two-week period June 21 July 2, 2021 from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). that perturbation series following from superstring S-matrix, already known to diverge as one sums over all moduli parameters (which isnt really the issue, since this happens even in QED, see Dyson, F.J., 1952. The proof in these cases uses the notion of 1-form symmetries (= co-dimension 2 topological defects) to express PGL(N)-skein modules as certain twisted SL(N)-skein-modules, and then to further relate these to well-known formulas for the cohomology of twisted character varietiesof surfaces. This is damaging. We prove a reformulation of the main conjecture in Fukayas second correspondence, where multi-valued Morse theory on the base B is replaced by tropical geometry on the Legendre dual B. The talk is based on work in collaboration with Davide Gaiotto. Title: Dirac-Coulomb Hamiltonians[online talk] Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. We also discuss generalizations to b_2^+(X)>1. Abstract: About 40 years ago J. Zinn-Justin formulated several conjectures about the perturbative expansion of the spectrum a quantum Hamiltonian (for the polynomial potential in 1 variable). Fall 2021. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. 8. The point though is that there are plenty of much simpler examples, which often can be understood purely in terms of representation theory. A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. Any consistent theory of quantum gravity should reproduce this semiclassical limit. Hiraku Nakajima [Slides]. Really amazing work! Workshop on Algebraic Geometry and Machine Learning, Tsinghua Sanya International Mathematics Forum, January 2021. and Physics), [G]Suman Kundu (Tata Inst. Abstract: By studying M-theory on singular non-compact special holonomy spaces X we demonstrate, via a process of cutting and gluing of singularities that extend to the boundary of X, the appearance of 0-form, 1-form and 2-group symmetries in the resulting supersymmetric quantum field theory. Joerg Teschner (DESY) 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. I suppose I shouldnt have even let that get started. Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. We introduce a new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? In 2019, S. Gukov and C. Manolescu initiated a program to mathematically construct via Dehn surgery, and as part of that they conjectured that the Melvin-Morton-Rozansky expansion of the colored Jones polynomials can be re-summed into a two-variable series for knot complements. In this talk I will present how these two threads of research can be combined and what comes as a reward. We introduce a. new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? !)