Pyry Kuusela (University of Oxford) 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). 2013 Jul. 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. How do I replace all occurrences of a string in JavaScript? The derivations listed in 0705.3024 seem to fall into three classes: String Theory (D-brane/String state counting, AdS/CFT, Fuzzballs) Title: Automorphic Spectra and the Conformal Bootstrap Can I tell police to wait and call a lawyer when served with a search warrant? 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. [Slides], Carlos Perez-Sanchez (University of Heidelberg) Simon Donaldson In particular, we provide two different path integral derivations of their wall-crossing formula for b_2^+(X)=1. This gives the symmetry algebra action on the categorifiedDT. I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. 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. 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. 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 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. Matilde Marcolli His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). Jednym z najwaniejszych osigni Maryny Viazovskiej jest rozwizanie tzw. There will also be a gong show session of 5-minute talks by PhD students and a poster session using Zoom breakout rooms. Do roots of these polynomials approach the negative of the Euler-Mascheroni constant? Really amazing work! 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. [Slides]. 2013 Nov. Osaka City University, Japan. He notes that to get at non-perturbative string theory we seem to need some more general understanding of quantum theories, going beyond the usual quantization starting with an action, and ends by saying maybe quantum information theory can help. for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Well, that would be the case if people follow the hype for last 20-30 years or more. The LQG derivation, involving an ad-hoc choice for the Immirzi parameter 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. Based on numerous works with G. Baverez, F. David, C. Guillarmou, A. Kupiainen, R. Rhodes. Abstract: I will be discussing my recent work [2110.08179] with Chris Blair and Dan Thompson on topology change in Poisson-Lie T-duality with spectators (i.e. Make an operation based on string, including priority for multiplication and division with vanilla javascript and nodejs. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. Abstract: Three-dimensional N =4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. Title: On topology change in Poisson-Lie T-duality A better version was given September 22, 2021 at Yan Soibelman's M-seminar. I would be eager to read a real formal discussion if first-quantised RNS superstring in euclidean signature is quantum mechanically equivalent (unitary Boguliubov transformation) to original version starting from Minkowski signature. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. [Slides], Mateo Galdeano (University of Oxford) This talk is based on joint work with Si Li. [Slides] [Video], Antoine Bourget (CEA Saclay) I am not a fan of string theory. What video game is Charlie playing in Poker Face S01E07? [Slides] [Video], Brian Williams (University of Edinburgh) Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. In my talk, I will discuss the following two examples. Hirosi Ooguri (Caltech & IPMU) Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. http://jsfiddle.net/vol7ron/6cdfA/. [Slides], Shi Cheng (University of Warsaw) 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. Title: Categorical Enumerative Invariants Math Talks and Number Strings provide the foundation to help students improve their understanding and comprehension of numbers. I saw the discussions you refer to. So please stop it with this idea that criticising string theory, as Peter does, is not good nor an honest way to communicating about science. Youre right that I was cherry-picking, but in the sense of ignoring the huge amount of hype about what great progress was being made, and sticking to writing about certain places where people like Arkani-Hamed or Witten chose to address the real problems (which most of the time are studiously ignored). Find centralized, trusted content and collaborate around the technologies you use most. Title: Path integral derivations of K-theoretic Donaldson invariants Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds Strings 2022 Summary Talk. Title: Giant Gravitons in Twisted Holography However, this is an unrealistically simple description of the situation, even for a basic example such as the classical phase space.. Do I need a thermal expansion tank if I already have a pressure tank? with the exact opposite agenda. of Science), [T] Ying Zhao (Institute for Advanced Study), Luis Alday, Luis Alvarez-Gaume, Kostas Bachas, Micha Berkooz, Nathan Berkovits, Ruth Britto, Horacio Casini, Alejandra Castro, Mirjam Cvetic, Atish Dabholkar, Jan de Boer, Robbert Dijkgraaf, Johana Erdmenger, Mboyo Esole, Jim Gates, 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, Igor Klebanov, 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, A convenient link with all talks at previous Strings meetings is hosted by Yuji Tachikawa at, https://member.ipmu.jp/yuji.tachikawa/stringsmirrors/, All sessions were recorded and are available at the Youtube daily links below or by clicking on the lecture in the, Strings 2021 will be held online during the two-week period. Abstract: Twisted holography relates the 2d chiral algebra subsector of N = 4 SYM to the B-model topological string theory on the deformed conifold SL(2,C). 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). Much as I love this general topic, its getting far from the topic of the posting, so Ill just advise: read my book. 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]. Brittany Goerig | Oct 14, 2020 | 00:56:54. For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. 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. See a live demo on the website. 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). Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. Liouville theory appeared there under the form of a 2D Feynman path integral and since then has appeared in a wide variety of contexts (random conformal geometry, SUSY Yang-Mills, etc). Hope you will find them as a useful starting point. 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. Albrecht Klemm Juan Maldacena Non-QG QFT derivations that are not attempting to identify the microstates. 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. I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Probably the best answer. Jacek Paweczyk The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. CEIs are associated to an arbitrary Calabi-Yau category, together with a splitting of the Hodge filtration. [Slides] [Video], Sam Raskin (University of Texas at Austin) Postal Address:Instituto de Matemtica Pura e Aplicada 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. [Slides] [Video], Mayuko Yamashita (Kyoto University) 10. August 2-7, 2021: International Congress on Mathematical Physics (ICMP) 2021 (session Quantum Field Theory), Geneva, Switzerland. String theory is now older than not just my students, but also many of their parents and unfortunately its very well-established, sometimes even taught to high school students. Caltech's Feynman Centennial Symposium on 12 May 2018. It will often be a good idea to analyze states in terms of these irreducible representations. 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. Lakshya Bhardwaj (University of Oxford) Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. What is the !! To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. 3. 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. Goodbye eval()! In my view, this anxiety to communicate to the public the latest developments is a sign of certain immaturity. Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? The latter approach allows to realize holomorphically and topologically twisted field theories directly as worldvolume theories in deformed supergravity backgrounds, and we make extensive use of this. -) and postfix (e.g. NN-QFT Correspondence. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSP(1|2)$. Strings 2021 is an annual conference that brings together the entire string theory community. This public lecture is also a lecture in the Zapytaj fizyka series here is the lecture website. Title: Smoothing, scattering and a conjecture of Fukaya [online talk] [Slides] [Video], Lauren Williams (Harvard University) Title: Towards F-theory MSSMs In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. In other physical contexts you have different symmetries than Poincare, often approximate symmetries. 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. 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. We introduce a new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? 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. You wrote Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. Abstract: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics. Our conjecture, which we have developed with Ben-Zvi, Gunningham and Safronov, asserts an equality of dimensions between the G- and G^L-skein modules of a 3-manifold at generic quantization parameter. 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. Abstract: I will describe a close analogy between the spectral geometry of hyperbolic manifolds and conformal field theory. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). How can I guarantee that my enums definition doesn't change in JavaScript? A limit involving the quotient of two sums. Add a comment | 21 . [Slides] [Video], Fabian Ruehle (Northeastern University) This is a joint work with K. Ohmori (U. Tokyo). In the end, we also consider a two-qubit system to demonstrate that a different entanglement spectrum does not provide the same constraint to $hat{H}$. 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. In the ending remark, Ooguri makes the observation that the percentage of speakers older than him is roughly a linear function (64-2x)% where x is the number of years after his PhD. The video answered some questions that I still had (e.g. A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. This story also relates to the higher-form global symmetry. Everything is in the description. Davide Gaiotto Zhengping Gui (International Centre for Theoretical Physics) 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. This jargon sounds a bit confusing. [Slides] [Video], Davide Gaiotto (Perimeter Institute) 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. All, 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. [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison) This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. Just viewed the last question and answer session. Knots and Natural Language. Abstract: Trace map on deformation quantized algebra leads to the algebraic index theorem. 5. I will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. 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. rev2023.3.3.43278. The resulting quiver Yangians, together with their trigonometric and elliptic versions, unify various known results and generalize them to a much larger class. The general picture is nicely illustrated by the Borel We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. Title: Elliptic trace map on chiral algebras Title: Spectrum in quantum mechanics and deformed periods [online talk] Sheldon Katz (University of Illinois) I think a better service to the public would be made by discussing things that are well established, rather that the permanent focus on what is coming/the future etc. We hereby certify that, Alex Buchel, THE UNIVERSITY OF WESTERN ONTARIO, Rafa R. Suszek, Louis Alvarez-Gaume Mina Aganagic 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. Their scaling dimensions are related to the Laplacian eigenvalues on the manifold. Title: Homological blocks and R-matrices [Slides]. These boring predictions, if confirmed by DUNE, will show that also in experimental physics no real stuff is happening. Our starting point will be the observation that a rich source of discrete gauge symmetries in M-theory are Calabi-Yau threefolds with singularities that cannot be crepantly resolved. 2. Miranda Cheng Is there a way to calculate a formula stored in a string in JavaScript without using eval()? APCS. But this is just an opinion. I will illustrate this construction on examples of low rank 4d N=2 SCFTs. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. Abstract: We discuss the partition functions of topologically twisted 5d SU(2) supersymmetric Yang-Mills theory on X x S1, where X is a smooth closed four-manifold. (i) No one convincingly proved the mathematical equivalence between the RNS superstrings and GS formalism. 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. In my case, I will give a run, certainly much more healthy, no? I will also touch upon the issue of the Lorentzian vs Euclidean metric slice in the path integral contour of quantum gravity. Adrian, 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. StringBufferStringBuilder 1. Check this JSBenchmark. 2. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] CICADAS [i.e. Title: Quivers for 3-manifolds Title: Heterotic little strings, T-duality and 2-group symmetries Recently, a rigorous probabilistic construction of the path integral was provided using the Gaussian Free Field. While the community just spread out to other problems. I dont think I was misrepresenting those at all. 1 Let n be a natural number, n3. Piotr Kucharski (University of Amsterdam) String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. . how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). In 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. Math 250 (Vector Analysis) . The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. 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. 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. 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. operators, and function (e.g. 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

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