With what result? StringBufferStringBuilder 1. You will have to use the Number.isNaN() method to do it. I did watch fully the discussions I wrote about here, also took a look at many of the others. Its explicit description as a QFT has remained elusive. Why are trials on "Law & Order" in the New York Supreme Court? . Title: Calculating Quantum Knot Homology from Homological Mirror Symmetry Miosz Panfil 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. In particular, he discovered a hidden structure governed by Bernoulli numbers. Finally, I will discuss some applications. operators, and function (e.g. Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. Exactly because of this. Tony Pantev Enter your email address to subscribe to this blog and receive notifications of new posts by email. Robert A. Wilson, As Ive pointed out here before (cant find a link), theres nothing unusual about a quantum system that isnt just a conventional quantisation of a classical system. [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison) Exactly because of this. 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. 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. Quantum physics studies the smallest objects in the universelike atoms and subatomic particleswhile general relativity typically focuses on larger-scale objects in the universe. Share. Properties of the construction are explained both purely in the context of holomorphic field theory and also by engineering the holomorphic theory on the worldvolume of a D-brane. 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. CEIs are associated to an arbitrary Calabi-Yau category, together with a splitting of the Hodge filtration. Abstract: In 2002, Fukaya proposed a remarkable explanation of mirror symmetry detailing the SYZ conjecture by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi-Yau manifold X and the multi-valued Morse theory on the base B of an SYZ fibration p : X B, and the other between deformation theory of the mirror X and the same multi-valued Morse theory on B. [Slides] [Video], Lauren Williams (Harvard University) 3. String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. 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. (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. Go on and you certainly will be assured thats not going to be about qubits, Dear Robert. Talks are available for watching every day via Youtube, links are on the main page. In this talk, I will explain how to prove their conjecture for a big class of link complements by making use of the R-matrix for Verma modules. It's december of 2021, and the java world has been rattled by a log4j vulnerability. This is enabledby thesurprisingappearanceof a Penner-like matrix model whose spectral curve turns out to give a Strebel differential. 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. But what DUNE will find has been predicted years ago: normal neutrino mass order, no additional neutrinos, no proton decay, and no physics beyond the standard model whatsoever. String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. We show that many 3d theories can be represented as plumbing graphs and hence be able to be constructed by compactifying M5-branes on corresponding plumbing manifolds using the construction of 3d-3d correspondence. 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. It is healthy. Title: q-series for so(3) and osp(1|2) 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. 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. @DKepler I will discuss two such consequences the Penrose Inequality and constraints on the location of trapped surfaces as possible diagnostics for whether a given solution admits a consistent UV completion within AdS/CFT. Hiraku Nakajima Whats remarkable is how powerful Poincare space-time symmetry is as a determinant of how elementary particles behave. -) and postfix (e.g. 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. APCS. To summarize the situation, now as it has ever been: 1. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. 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. Is a PhD visitor considered as a visiting scholar? It also gives one a feeling for how Arkani-Hamed works through problems. Title: From BPS crystals to BPS algebras All, . [Slides] [Video], Netta Engelhardt (MIT) Simon Donaldson Zhengping Gui (International Centre for Theoretical Physics) a proponent of string theory but also a well-known populariser of science, . 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. W roku 2019 otrzymaa nagrod Fermata oraz nagrod Ruth Lyttle Satter przyznawan przez Amerykaskie Towarzystwo Matematyczne, a w roku 2020 nagrod Europejskiego Towarzystwa Matematycznego. Lakshya Bhardwaj (University of Oxford) Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. There will also be a gong show session of 5-minute talks by PhD students and a poster session using Zoom breakout rooms. Miranda Cheng 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). I will present a rigorous version of this formula in the context of quivers with potential, which governs the BPS spectrum in type IIA string theory compactified on certain conical Calabi-Yau threefolds, in the vicinity of orbifold-type points in Kahler moduli space. String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. 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. (Anyway, String Theory is mainly about Quantum Gravity). Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization I will present recent progress in this direction in the simplest case of local $P^2$, and argue that its global BPS spectrum and flow tree structure can be deduced from a scattering diagram with simple initial data. So, does anyone know about alternatives to eval()? And how I regret it, D-branes also Talks are available for watching every day via Youtube, links are on the main page. The University of Warsaw The University of Warsaw, founded in 1816, is the largest university in Poland and a leading research centre in the country and in this region of Europe. Zygmunt Lalak 4. F-theory vacua with exactly one Higgs field and no vector-like exotics. [Slides]. 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). [Slides], Martin Bies (University of Pennsylvania) Another talk of Penrose (and a conference in his honour): 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. Elements of this Hilbert space can be thought of as local operators living in a (d-1)-dimensional spacetime. you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. Depending on the coupling constant and dimension, they exhibit several distinct scaling behaviors (or if you prefer the high energy jargon, various renormalization group flows). You, sir, are awesome. Title: Smoothing, scattering and a conjecture of Fukaya [online talk] Physical Review, 85(4), p.631. Davide Gaiotto 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. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. Title:Landau-Ginzburg models for cominuscule homogeneous spaces Chrome's Content Security Policy will still throw EvalError, Creating constructor doesn't make sense here and it takes unnecessary resources. In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. Reimundo Heluani Organizing Committee. https://sites.google.com/unifi.it/scri21/program It's december of 2021, and the java world has been rattled by a log4j vulnerability. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. Physically, flow treesprovide a mesoscopic representation of BPS states as nested multi-centered bound states of elementary constituents. These operators are interesting for several reasons: Hello, Robert A. Wilson David Ben-Zwi The general picture is nicely illustrated by the Borel The video answered some questions that I still had (e.g. [Slides], Ioannis Lavdas (LMU Munich) Title: Category of QFTs and differential cohomology 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. Requiring the unitary equivalence also implies Modular Chaos Bound = Chaos Bound''. [Slides] [Video], Jan Dereziski (University of Warsaw) !) String theory calculations that can be done in unphysical situations (wrong dimension, lots of SUSY, extremal black holes) claim to reproduce the semiclassical limit. from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. What is the !! Edward Witten (Institute for Advanced Study) In other physical contexts you have different symmetries than Poincare, often approximate symmetries. Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. Time permitting, we will discuss a number of related results, such as the cluster structures and Newton-Okounkov bodies determined for the exceptional family in [Spacek-Wang22], and connection to other mirror symmetry statements such as the quantum D-module isomorphism proven for minuscule homogeneous spaces in [Lam-Templier17]. Divergence of perturbation theory in quantum electrodynamics. Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. According to this philosophy, connection to particle physics appear[s] hopeless/parochial/unimportant. Every other answer either uses ify regular expressions or use. It seems that non-stringy approaches to quantum gravity are not very successful at reproducing these universal results. How to evaluate string mathematical expressions in java script? I will then summarise recent work (with Matthias Gaberdiel and others) on the AdS_3/CFT_2 correspondence, in the tensionless limit, which gives a proof of concept of the above ideas. Follow StringStringfinal . 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. 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. Really amazing work! Postal Address:Instituto de Matemtica Pura e Aplicada Abstract: I will describe a close analogy between the spectral geometry of hyperbolic manifolds and conformal field theory. String Math 2021 - Si Li (Tsinghua University) 848 views Jun 15, 2021 27 Dislike Share Instituto de Matemtica Pura e Aplicada 100K subscribers String-Math 2021 conference (IMPA, Rio de Janeiro), [R = Review lecture] ; [D = Discussion session] ; [T = Research talk] ; [P = Public lecture] ; [S = Starting/Summary talks] ; [G = Gong-show talk]. Abstract: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics. If people think carrying on this argument is a good use of their time, they are encouraged to do so elsewhere. Title: On topology change in Poisson-Lie T-duality My talk will be based on recent joint work with Baej Ruba. Do roots of these polynomials approach the negative of the Euler-Mascheroni constant? Penroses talk is interesting (https://www.youtube.com/watch?v=hk_6EtWUatM), as is the discussion between him and string folks afterwards. What sort of strategies would a medieval military use against a fantasy giant? IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. Is it possible to create a concave light? This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. nagrod Salema, nagrod Matematycznego Instytutu Claya, nagrod New Horizons in Mathematics. Nothing will be said about multiverses or swampland on what follows. Do I need a thermal expansion tank if I already have a pressure tank? One can also Higgs chiral multiplets. The talk is based on work in collaboration with Davide Gaiotto. 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. The powerpoint is here in powerpoint and here in pdf . This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. In response to the obvious question about relation to experiment and testability, people have clearly completely given up on this, with nothing to say (other than a bogus claim that string theory makes some prediction about B-mode polarization), going on about how it took thousands of years for the atomic hypothesis to be vindicated. 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. 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. 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). Matthias Gaberdiel 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. Abstract: We explore little string theories in six dimensions, constructed via F-theory that are dual to heterotic stringswith NS5 branes probing ADE type singularities. Little string theories also possess T-duality as well as higher form- and group symmetries. Chen-Te Ma (Asia Pacific Center for Theoretical Physics) Title: Revisiting Heterotic ALE Instantons: F-theory, 2-groups, and T-duality 10. problemu upakowania sfer w wymiarze 8, a take we wsppracy z innymi matematykami rozwizanie tego problemu w wymiarze 24. 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. Weekly on Mondays 2:10 PM (Pacific Time) Meetings are in-person, at 402 Physics South. Ironically, the very fact that he had to refer to it at all should alarm them. 5. how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). How useful this will be will depend on the symmetries you have available. Their definition involves subtle boundary conditions. Yes, but I cant imagine that Witten was thinking of anything as well known and well understood as a qubit.