string math 2021
Organized by Mina Aganagic , Ivan Danilenko , Andrei Okounkov, and Peng Zhou. rev2023.3.3.43278. Title: On topology change in Poisson-Lie T-duality 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. Based on 2103.10271, 2111.07663 and upcoming work. Equivalent plumbing graphs suggest dual theories. These have been going on for over 25 years, with nothing new in a very long time. Black Hole Entropy and the Problem of Universality [https://arxiv.org/abs/gr-qc/0702094]. Just like in the smooth case, one can ask about the multiplicities of BPS states that now carry an additional discrete charge. String Math 2021, held online by IMPA, Rio de Janeiro, Rio de Janeiro, June 14 - 18, 2021. String Math 2021 - Si Li (Tsinghua University) 848 views Jun 15, 2021 27 Dislike Share Instituto de Matemtica Pura e Aplicada 100K subscribers According to this philosophy, connection to particle physics appear[s] hopeless/parochial/unimportant. [Slides], Muyang Liu (Uppsala University) We introduce a. new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? Title: Holomorphic Floer theory and Donaldson-Thomas invariants Algorithm methods are divided for each level of operations order as follows: parseFactor = 1. operator sign | variable evaluation | function call | parenthesis (sub-expressions); 2. exponentiation; parseTerms = 3. multiplication, division; parseExpression = 4. addition, subtraction. How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)? Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. Based on joint work with Petr Kravchuk and Sridip Pal. Title: Topological Langlands duality and 1-form symmetries There are other views, it is a matter of taste. Title: String integrability of defect CFT and dynamical reflection matrices 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). 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]. 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. For a so called well defined mathematical theory, cannot be tweaked etc, the number of unsolved issues with it and the claim not understanding what string theory is is inconsistent. Making statements based on opinion; back them up with references or personal experience. Thanks for contributing an answer to Stack Overflow! All major operations, constants, and methods are supported. [Slides] [Video], Antoine Bourget (CEA Saclay) Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. Recently, a rigorous probabilistic construction of the path integral was provided using the Gaussian Free Field. Mina Aganagic This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. Abstract: Superconformal field theories with 8 supercharges in spacetime dimensions 3 to 6 have a large moduli space of vacua. 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. (not not) operator in JavaScript? His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). The operators satisfy an operator product expansion. The real stuff happens in physics without a press release, book, or blog. Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity Reimundo Heluani Organizing Committee. The simplest example is the qubit. [Slides]. 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. We physically derive (i) a novel Vafa-Witten four-manifold invariant associated with this moduli space, (ii) their relation to Gromov-Witten invariants, (iii) a novel Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and generalization of a conjecture by Abouzaid-Manolescu about the hypercohomology of a perverse sheaf of vanishing cycles, (vi) a Langlands duality of these invariants, Floer homologies and hypercohomology, and (vii) a quantum geometric Langlands correspondence with purely imaginary parameter that specializes to the classical correspondence in the zero-coupling limit, where Higgs bundles feature in (ii), (iv), (vi) and (vii). 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. Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . The following articles by Carlip provide a nice overall perspective, drawing attention to the universality of BH entropy derived in different approaches to QG what he refers to as an embarrassment of riches. 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. In this talk I will present how these two threads of research can be combined and what comes as a reward. Every other answer either uses ify regular expressions or use. Their scaling dimensions are related to the Laplacian eigenvalues on the manifold. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. Exactly because of this. Estrada Dona Castorina 110, Jardim Botnico Abstract: We will discuss how dualities of quantum field theories can be understood as analogous to Morita equivalences for algebras of various types. Title: Path integral derivations of K-theoretic Donaldson invariants The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. 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 $hat{U}$. 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. Hirosi Ooguri (Caltech & IPMU) To subscribe to this RSS feed, copy and paste this URL into your RSS reader. 1. These higher-categories are constructed by equivariantizing higher-categories corresponding to invertible higher-form symmetries. However, I have provided a pure JS solution (w/o eval). Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction Unfortunately, finding explicit solutions to the system is a challenging problem due to the existence of an anomaly cancellation condition for the gauge fields. I think I was doing him a favor by not quoting that kind of thing, which he really should be embarrassed about. The powerpoint is here in powerpoint and here in pdf . Title: Emergence of Time from Unitary Equivalence Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. 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. 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. Quantum physics studies the smallest objects in the universelike atoms and subatomic particleswhile general relativity typically focuses on larger-scale objects in the universe. How can I guarantee that my enums definition doesn't change in JavaScript? We determine the T-dual theories and match those global symmetries across the dualities. We also provide the action of braiding on the relevant branes, so we can calculate Khovanov homology for any knot given its braid representation. 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. From a mathematical perspective, these solutions involve interesting constructions in geometry such as integrable G2-structures and G2-instantons. Its very good but he often leaves the reader a lot to figure out. Title: Magnetic quivers for Superconformal Field Theories [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) 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. http://jsfiddle.net/vol7ron/6cdfA/. Abstract: Currently, there is a strong interest in the study of non-invertible symmetries of quantum field theories. Probably not if you ask me. Boris Pioline (Universit Pierre et Marie Curie) Follow 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. Finally, I will mention how some of these features are likely to persist in a proposal for the worldsheet dual of free N=4 Super Yang-Mills theory. Is there a way to calculate a formula stored in a string in JavaScript without using eval()? Strings 2021 started today, program is available here. Can I did this command pattern if I declare the operator how it were a variable? Title: The Penrose Inequality as Swampland Condition? @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. This is damaging. Juan Maldacena How do I replace all occurrences of a string in JavaScript? Everything is in the description. 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. [Slides] [Video], Pierrick Bousseau (ETH Zrich) This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. 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. One can also Higgs chiral multiplets. Title: Elliptic trace map on chiral algebras I will show how this calculation works for su(2) and give an example. Share. The methods can also be extended to SU(n) or G2 structure metrics [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) 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. What is the !! [Slides] [Video], Fabian Ruehle (Northeastern University) Simon Donaldson Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Talks are available for watching every day via Youtube, links are on the main page. Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] 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. Please, watch the discussions (there were many) and appreciate that these were honest discussion. Sen is saying hell give up on string theory if people prove that string theory is inconsistent, but Minwalla and Witten are saying there is no definition of the term string theory. Jackiw-Teitelboim/PeterH, Really amazing work! Whats remarkable is how powerful Poincare space-time symmetry is as a determinant of how elementary particles behave. For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSP(2|2)$. 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. Please, no more about the only string theory can compute the Black Hole entropy arguments. From the README: Title: Bootstrapping AdS/BCFT This is a joint work with Kwokwai Chan and Ziming Ma. (videos of the talks at the bottom). 2. 2021-22. I will discussa phenomenon similar to Frobenius of modular representation theory. 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. Here is an implementation of the Shunting-yard algorithm with additional support for unary prefix (e.g. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online eventSpeaker: Si Li (Tsinghua University)Lecture title: Elliptic chiral homology and quantum master equationEvent page: http://bit.ly/stringmath2021Videos playlist: https://bit.ly/3v2lHlsThe 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. Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). Experimentalist: I have to compute QCD, Wikipedia says I need to add unphysical ghosts on a local section and their fiberwise duals and project out the quotient Fock space isomorphic to the supergraded BRST cohomology pullback of the field configuration along a vertical diffeomorphism of the principal BatalinVilkovisky anafestic G-bundle, as if it were antani. W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. This is exactly the place where you should be using eval(), or you will have to loop through the string and generate the numbers. Title: Langlands duality for 3-manifolds It seems that no one in the string theory community dares to publicly breathe a word of skepticism. It also gives one a feeling for how Arkani-Hamed works through problems. Is a PhD visitor considered as a visiting scholar? Math Talks and Number Strings provide the foundation to help students improve their understanding and comprehension of numbers. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. 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.
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