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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]. To learn more, see our tips on writing great answers. Determinant operators in the chiral algebra insert Giant Graviton branes in the dual geometry. 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. [Slides] [Video], Fabian Ruehle (Northeastern University) Cookies and PrivacyAboutEventsNews 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. How do I align things in the following tabular environment? This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. He lists two main things we know about the supposed theory: 1. Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. Title: On topology change in Poisson-Lie T-duality Of course there are many ways to obtain the BH formula that do not try to identify the microscopic degrees of freedom in a theory of QG, the original calculation from the 70s being an obvious example. Title: Heterotic little strings, T-duality and 2-group symmetries 2013 Jul. [Slides], Ioannis Lavdas (LMU Munich) Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. 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. nagrod Salema, nagrod Matematycznego Instytutu Claya, nagrod New Horizons in Mathematics. Title: Families of Modular Flux Vacua on Symmetric CY Threefolds [Slides]. Katrin Wendland, Ron Donagi (University of Pennsylvania) . String Math 2021, held online by IMPA, Rio de Janeiro, Rio de Janeiro, June 14 - 18, 2021. 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. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. We investigate a two-dimensional chiral analogue of the algebraic index theorem via the theory of chiral algebras developed by Beilinson and Drinfeld. The next String Math conference will take place on July 10-14, 2023, at the University of Melbourne in Australia. I will show how this calculation works for su(2) and give an example. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. 2021-22. 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. I am not a fan of string theory. for Fundamental Research), [T] Sebastian Mizera (Institute for Advanced Study), [T] Sameer Murthy (Kings College London), [S] Hirosi Ooguri (Caltech and Kavli IPMU), [D] Joo Penedones (cole Polytech. Jacek Paweczyk 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. 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. Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? Nigel Hitchin (University of Oxford) We also provide the action of braiding on the relevant branes, so we can calculate Khovanov homology for any knot given its braid representation. Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. Enjoy. Thats interesting, can you give pointers? Physics Meets AI, LMU Munich, September 2020. crickets]. Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. From this description, we propose a symmetry for the space of instantons on C^2 by an exceptional super Lie algebra called E(3|6). 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. Author: Online2PDF.com Created Date: What is the point of Thrower's Bandolier? I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. Connect and share knowledge within a single location that is structured and easy to search. [Slides] [Video], Nikita Nekrasov (Simons Center for Geometry and Physics) Is there a way to calculate a formula stored in a string in JavaScript without using eval()? Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? lun, Organized by Mina Aganagic , Ivan Danilenko , Andrei Okounkov, and Peng Zhou. Im no whit wiser than when I began. Georgios Linardopoulos (Wigner Research Centre for Physics) commutative) spacetime case is well-known to yield the Yang-Mills(-Higgs) theory, namely almost-commutative manifolds, has to be replaced by its fuzzy counterpart already the classical level. Title: Quivers for 3-manifolds LHC will discover SUSY NN-QFT Correspondence. Strings 2021 is an annual conference that brings together the entire string theory community. Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] 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. In particular, i can not find a derivation of any black hole entropy from first principles in quantum gravity outside of string theory. [Slides] [Video], Dalimil Mazac (IAS) A limit involving the quotient of two sums. Strings 2022 Summary Talk. [Slides] [Video], Mayuko Yamashita (Kyoto University) Title: The character of M-theory In 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Can they make mistakes? 11. How to format a number with commas as thousands separators? Little string theories also possess T-duality as well as higher form- and group symmetries. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. I agree with Felix. 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. Starting from 1h14m of this meet the public vide The String Math series of conferences have become an important eventfor 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. Rio de Janeiro, June 18th, 2021. 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. [Slides], Mateo Galdeano (University of Oxford) This is joint work with Constantin Teleman and Greg Moore. Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . The only message I hear repeatedly is that String theory is the only game in town. CRM, Montreal, Canada. 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. But this procedure you adopted in this post, is not the best way of understanding science, or communicating it. 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. Abstract: Three-dimensional N =4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. 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. It also gives one a feeling for how Arkani-Hamed works through problems. 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 do I make the first letter of a string uppercase in JavaScript? [Slides] [Video], Davide Gaiotto (Perimeter Institute) 8. A ternary string is a sequence of n symbols that has some of the digits 0, 1, 2. 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. W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. There are slight differences regarding scoping, but they mostly behave the same, including exposure to much of the same security risks: You can't, at most you could do something retort like parsing the numbers and then separating the operations with a switch, and making them. Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction fiendish mathematics and mind-boggling . The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. Follow ), 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. 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. Title: Geometry of Higher-Form Group Structures in String Theory It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. This topic has been recently explored,from several differentperspectives,by Kontsevich-Soibelman and Doan-Rezchikov. 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. AP Computer Science A. Hirosi Ooguri (Caltech & IPMU) 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. Local nodes will be coordinated worldwide for the joint viewing of talks and discussion sessions, and online satellite meetings during other time periods will be linked on this webpage. Title:Plumbing graphs with matter But the time, the community (and the arXiv) takes care of these mistakes. String Math Summer School. String Data 2020, CERN, December 2020. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. 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). I did watch fully the discussions I wrote about here, also took a look at many of the others. [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) 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. There will also be a gong show session of 5-minute talks by PhD students and a poster session using Zoom breakout rooms. Math 250 (Vector Analysis) . Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. Adrian, 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. This is damaging. Edward Witten (Institute for Advanced Study) While the community just spread out to other problems. (iii) Most superstring calculations are performed under euclidean worldsheet for many practical reasons, as we all know and love from Wicks rotation in standard q.f.t.s. with the exact opposite agenda.. Abstract: We revisit Vafa-Witten theory in the more general setting whereby the underlying moduli space is not that of instantons, but of the full Vafa-Witten equations. Abstract: I will explain how to construct BPS algebras for string theory on general toric Calabi-Yau threefolds, based on the crystal melting description of the BPS sectors. How to check whether a string contains a substring in JavaScript? Title: The Penrose Inequality as Swampland Condition? How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)? 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). Moving away from such orbifold points requires generalizing the flow tree formula from the Abelian category of quiver representations to the derived category of the same. This is joint work with Mark Gross. I will illustrate this construction on examples of low rank 4d N=2 SCFTs. Ive personally never understood why showing that (unphysical limits of) your quantum theory gives the expected semi-classical result is anything other than a rather weak consistency check on your theory. Title: Topological Langlands duality and 1-form symmetries Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. Title: Calculating Quantum Knot Homology from Homological Mirror Symmetry LQG calculations claim to reproduce the semi-classical limit. 5. There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. 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. Everything is in the description. how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). 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. You will have to use the Number.isNaN() method to do it. Skeptical challenging of arguments is supposed to be what science is all about, but the speakers in this panel made it seem that this is absolutely not something that is part of their field or what they do. Is String Theory a Theory of Nature? Im posting this since I thought it could be useful for those very busy hep-ph physicists who may wish to go directly to (what I & surely many others) considers as the key moment from perspective lectures. In this talk, I will review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. He never actually gets anywhere near discussing the topic of the title for the talks, but does give a very nice leisurely introduction to computing amplitudes for zero-mass particles. So I wrote that list as both an act of rebellion nevertheless also of relive: I dont think one needs to wait for Plancks law to clean up our field through funerals in this century anymore & heres the right point for me to close: Its time for new ideas and we are going to find them. 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. , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, Abstract: Knizhnik-Zamolodchikov equation, originally found in the context of a two dimensional conformal field theory, has recently been found in the context of instanton counting, albeit with a significantly extended domain of allowed parameters (level, spins etc). . it is true that experiments are real physics. Make an operation based on string, including priority for multiplication and division with vanilla javascript and nodejs. Since its online only, talks are much more accessible than usual (and since its free, over 2000 people have registered to in principle participate via Zoom). you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. Abstract: In this talk I will introduce a refined notion of Gopakumar-Vafa invariants on singular Calabi-Yau threefolds that generate a discrete gauge symmetry in M-theory. 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 . [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) 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. Another talk of Penrose (and a conference in his honour): 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. Jednym z najwaniejszych osigni Maryny Viazovskiej jest rozwizanie tzw. And how I regret it, D-branes also From a mathematical perspective, these solutions involve interesting constructions in geometry such as integrable G2-structures and G2-instantons. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris).