Hirosi Ooguri (Caltech & IPMU) But I went through the hard road, being told just to accept all fundamental questions I raised above as unanswered and move on to the cutting-edge problems whatever and whonever decides what these are. Thats interesting, can you give pointers? This construction has several advantages and opens perspectives towards generalization to the case of the $cW$-algebras Title: The sphere packing problem and beyond. Still, I think the best choice you can make is to use eval, given that you're able to trust the source of the string. 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. Every other answer either uses ify regular expressions or use. Suomynona, Chrome's Content Security Policy will still throw EvalError, Creating constructor doesn't make sense here and it takes unnecessary resources. More operators/functions can be easily defined with the Calculation.defineOperator method: If you don't want to use eval you will have to use an existing expression evaluator library. Boris Pioline (Universit Pierre et Marie Curie) The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. Is there a way to calculate a formula stored in a string in JavaScript without using eval()? June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. LQG calculations claim to reproduce the semi-classical limit. String Math 2021 - Denis Auroux (Harvard University) 2,124 views Jun 14, 2021 32 Dislike Share Save Instituto de Matemtica Pura e Aplicada 99.2K subscribers Abstract: Superconformal field theories with 8 supercharges in spacetime dimensions 3 to 6 have a large moduli space of vacua. Physics Meets AI, LMU Munich, September 2020. Of course, I do not justify equally wrong comments from certain string theorists This gives the symmetry algebra action on the categorifiedDT. Even without LQG, there are many ideas on/in QG which are physically well founded. If you're looking for a syntactical equivalent to eval, you could use new Function. [Slides], Mateo Galdeano (University of Oxford) Dear Peter, 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. AP Computer Science A. The operators satisfy an operator product expansion. 1 Let n be a natural number, n3. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. Evaluator.js is used by a desktop calculator application of the same name. 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. Title: BPSDendroscopyon local Calabi-Yau threefolds 3. Finally, I will discuss some applications. Reimundo Heluani Organizing Committee. operators, and function (e.g. Zhengping Gui (International Centre for Theoretical Physics) Please, no more about the only string theory can compute the Black Hole entropy arguments. Abstract: It has been found, originally in the context of black hole thermodynamics, that the concept of entropy is better-defined in the presence of gravity than in ordinary quantum field theory without gravity. I notice that Roger Penrose, a well-know string theory skeptic, will be giving a talk on the last day of the conference next week. Juan Maldacena Philip Candelas I believe that your permanent opposing the string hypes is good and welcomed. We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. 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. What does "use strict" do in JavaScript, and what is the reasoning behind it? Update: In the final discussion section, Witten emphasizes that What is string theory? still has no answer, that we have little idea what it really is. Title: Path integral derivations of K-theoretic Donaldson invariants , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. CRM, Montreal, Canada. [Video], Hulya Arguz (IST Austria) 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. How to store objects in HTML5 localStorage/sessionStorage. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Alba Grassi (CERN)Lecture title: Painlev equations, quantum operators and gaug. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) [Slides] [Video], Antoine Bourget (CEA Saclay) 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. String Data 2020, CERN, December 2020. Abstract: I will present some conjectures for higher-rank K-theoretic Donaldson-Thomas theory on toric three-folds, and some lessons that we learned from working equivariantly on non-compact spaces. In this talk, I will review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. Abstract: We will discuss how dualities of quantum field theories can be understood as analogous to Morita equivalences for algebras of various types. Go on and you certainly will be assured thats not going to be about qubits, Dear Robert. In the discussion section, Vafa challenges him on this, saying he sees no indication that quantum information theory gives any insight into dualities he sees as the central aspect of the non-perturbative theory. 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. [Slides]. [Slides] [Video], Maxim Kontsevich (IHS) @DKepler Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSP(2|2)$. Talks are available for watching every day via Youtube, links are on the main page. 5. Math 250 (Vector Analysis) . 2021-22. - rgbk21. Dear Peter, I believe you are cherry-picking parts of comments. Rio de Janeiro, June 18th, 2021. Recently, a rigorous probabilistic construction of the path integral was provided using the Gaussian Free Field. Simon Donaldson The two domain wall systems are thought to be integrable; the evidence comes mainly from the study of correlation functions at weak coupling. Im no whit wiser than when I began. String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. Hello, Robert A. Wilson 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. These have been going on for over 25 years, with nothing new in a very long time. with the exact opposite agenda. Black Hole Entropy and the Problem of Universality [https://arxiv.org/abs/gr-qc/0702094]. 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]. [Slides]. Elliott Gesteau (California Institute of Technology) Talks are available for watching every day via Youtube, links are on the main page. 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). Matilde Marcolli Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. We will explain how ideas from oriented matroids, tropical geometry, and cluster algebras shed light on the structure of the positive Grassmannian and the amplituhedron. sqrt()) notations. Connect and share knowledge within a single location that is structured and easy to search. His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). There is also an open source implementation on GitHub, evaluator.js, and an NPM package. from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). Ironically, the very fact that he had to refer to it at all should alarm them. We also discuss generalizations to b_2^+(X)>1. https://arxiv.org/pdf/0809.0305.pdf, Already at p.1 one reads, The Problem: According to textbooks, the passage from classical mechanics to quantum mechanics is made by replacing Poisson brackets with commutators. I saw the discussions you refer to. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. [Slides], Muyang Liu (Uppsala University) Does a barbarian benefit from the fast movement ability while wearing medium armor? This lecture is aimed for the general public and does not request much prerequisites in mathematics. The corresponding Gopakumar-Vafa invariants provide a discrete refinement of the invariants associated to the smooth deformation. Just like in the smooth case, one can ask about the multiplicities of BPS states that now carry an additional discrete charge. Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. Sakura Schafer-Nameki Based on joint work with Petr Kravchuk and Sridip Pal. 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. Enjoy. Well, that would be the case if people follow the hype for last 20-30 years or more. See a live demo on the website. Thanks for contributing an answer to Stack Overflow! It fully encodes the geometry, and a simple algorithm allows access to the structure of nested singularities, which corresponds physically to a generalized Higgs mechanism. In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. 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 is a joint work with K. Ohmori (U. Tokyo). But the time, the community (and the arXiv) takes care of these mistakes. 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. Abstract: Open quantum systems are of experimental interest since ideally real life experiments always have some interaction with its environment. Abstract: Quantum curves can be associated with the singular vectors in the Verma modules over the Virasoro algebra. I agree with Felix. These operators are interesting for several reasons: A ternary string is a sequence of n symbols that has some of the digits 0, 1, 2. Starting from 1h14m of this meet the public vide Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. 2014 June. [Slides], Aranya Bhattacharya (IISc, Bangalore) Likely Witten was thinking of things like the 6d (2,0) superconformal theory which has not classical limit and its construction is somewhat mysterious. Miranda Cheng In this talk, I explain an ongoing work to combine them, and to give a higher relations between QFTs and differential cohomology. You are possibly right its now pointless to debate those issues. These higher-categories are constructed by equivariantizing higher-categories corresponding to invertible higher-form symmetries. One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. Whats remarkable is how powerful Poincare space-time symmetry is as a determinant of how elementary particles behave. I believe I am not misguided. [Slides], Martin Bies (University of Pennsylvania) Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. Any other way wouldn't be as efficient. We have a lunch on the 4th floor of Physics South before the seminar. If you want to be added to the seminar mailing list, use this link https . This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. Add a comment | 21 . Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity Title: Emergence of Time from Unitary Equivalence How do I check if an array includes a value in JavaScript? The general principle is that whenever you have a group acting on a physical quantum system, the state space will be a unitary representation of that group, and unitary representations break up into irreducible representations. 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. In particular, he discovered a hidden structure governed by Bernoulli numbers. Greg Moore 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. The point though is that there are plenty of much simpler examples, which often can be understood purely in terms of representation theory. Result is the same as without the 'new'. Title: Counting BPS states with discrete charges in M-theory How to format a number with commas as thousands separators? Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. 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. Nicolai Reshetikhin On the utility of the equation 2+4=6 in supersymmetric quantum field theory. It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. 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. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. Miosz Panfil 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. Georgios Linardopoulos (Wigner Research Centre for Physics) Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. [Slides] [Video], Sunghyuk Park (California Institute of Technology) W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. Requiring the unitary equivalence also implies Modular Chaos Bound = Chaos Bound''. 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. If you are interested in what field theories Wittens probably interested in, then I certainly recommend you to follow the on going ICTSs Quantum Field Theory, Geometry and Representation Theory, with Wittens mini-course starting tomorrow: https://www.icts.res.in/program/qftgrt2021/talks, In order to get a feel what is at stake here, start with: The general picture is nicely illustrated by the Borel Katrin Wendland, Ron Donagi (University of Pennsylvania) Abstract: Since 2017, knots and symmetric quivers are known to be intimately related via BPS spectra. 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. But, as has also been the case for many years, the conference features many talks that have nothing to do with string theory and may be quite interesting. ), 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. 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. 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. Title: A Yang-Mills matrix theory Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. Organizing Committee:Henrique Bursztyn (IMPA)Reimundo Heluani (IMPA)Marcos Jardim (IMECC-UNICAMP)Gonalo Oliveira (UFF) Scientific Committee:Anton Alexeev (Universit de Genve)David Ben-Zvi (University of Texas)Alexander Braverman (Brown University)Ron Donagi (University of Pennsylvania)Giovanni Felder (ETH Zrich)Dan Freed (University of Texas)Edward Frenkel (University of California)Marco Gualtieri (University of Toronto)Nigel Hitchin (University of Oxford)Sheldon Katz (University of Illinois)Maxim Kontsevich (IHS)David Morrison (University of California)Andrei Okounkov (Columbia University)Vasily Pestun (IHS)Boris Pioline (Sorbonne Universit \u0026 CNRS)Nicolai Reshetikhin (University of California)Pedro Vieira (Perimeter Institute for Theoretical Physics)Katrin Wendland (Albert-Ludwigs-Universitt Freiburg)Edward Witten (Institute for Advanced Study)Shing-Tung Yau (Harvard University \u0026 The Chinese University of Hong Kong)Maxim Zabzine (Uppsala University)Steering Committee: Ron Donagi (University of Pennsylvania)Dan Freed (University of Texas at Austin)Nigel Hitchin (University of Oxford)Sheldon Katz (University of Illinois)Maxim Kontsevich (IHS)David Morrison (University of California)Hiroshi Ooguri (Caltech \u0026 IPMU)Boris Pioline (Universit Pierre et Marie Curie)Joerg Teschner (DESY)Edward Witten (Institute for Advanced Study)Shing-Tung Yau (Harvard University)Redes Sociais do IMPA: https://linktr.ee/impabrIMPA - Instituto de Matemtica Pura e Aplicada https://impa.br | http://impa.br/videos#stringmath2021 Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemtica Pura e Aplicada, sendo vedada a utilizao total ou parcial do contedo sem autorizao prvia e por escrito do referido titular, salvo nas hipteses previstas na legislao vigente.The rights over all the material in this channel belong to the Instituto de Matemtica Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation. Of course even his brightest former student couldnt accept that: The experimental community pretty much politely ignores the string theory community, and has, well, since 1974 or so when the analytic S-matrix failed to predict the charmed quark. Poor fool that I am, I will discussa phenomenon similar to Frobenius of modular representation theory. Please, watch the discussions (there were many) and appreciate that these were honest discussion. @adrianmigueldiego: as a mathematical-physics, I have been earring for 20 years that string theory is the only game in town, I have seen the raise of LQG as an opponent to string, and I witnessed the tentative of string theory to kidnap noncommutative geometry claiming that this was nothing but the geometry of string theory. But this is just an opinion. StringStringfinal . August 2-7, 2021: International Congress on Mathematical Physics (ICMP) 2021 (session Quantum Field Theory), Geneva, Switzerland. rev2023.3.3.43278. The CY manifolds admitting supersymmetric flux vacua can be associated to elliptic, Hilbert, or Bianchi modular forms, depending on the field the complex structure moduli of the CY take values in. The string community has been dishonest for at least 20 years, and has absolutely no right to give any lessons about ethics in science. To begin with, we'll discuss a few third-party libraries and their usage. It seems that no one in the string theory community dares to publicly breathe a word of skepticism. 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 $hat{U}$. 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. String Math 2021 - Si Li (Tsinghua University) 848 views Jun 15, 2021 27 Dislike Share Instituto de Matemtica Pura e Aplicada 100K subscribers Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. Abstract: I will review the holomorphic twist of four-dimensional N=1 gauge theories and present the Feynman diagrams which control the perturbative corrections to the twistingsupercharge and to the higher operations available in the twisted theories. 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. The recording of the lecture can be found here. Java basics Unit 2 - Functions and Testing Unit 3 - String & Math Unit 4 - Loops & Algorithms Unit 5 - Classes and objects Unit 6 - Processing libraries Unit 7 - Arrays Unit 8 . and Physics), [G]Suman Kundu (Tata Inst. 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. Exactly because of this. how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). 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. 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. What video game is Charlie playing in Poker Face S01E07? Knots and Natural Language. CEIs are associated to an arbitrary Calabi-Yau category, together with a splitting of the Hodge filtration. Probably not if you ask me. In this talk, we will discuss recent progress in constructing explicit examples of higher-categories describing non-invertible symmetries in quantum field theories of various spacetime dimensions ranging from d=3 to d=6. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. I just had a look at that session, and more than anything, felt sorry seeing such eminent physicists giving such vacuous reasons just for the sake of defending a theory they have worked on for a long time. 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. To each 3-manifold equipped with a spin^c structure, is supposed to assign a q-series with integer coefficients that is categorifiable and provides an analytic continuation of the Witten-Reshetikhin-Turaev invariants. [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) From a mathematical perspective, these solutions involve interesting constructions in geometry such as integrable G2-structures and G2-instantons.
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