Just viewed the last question and answer session. People are attempting to understand things, with the tools at hand. Dear Peter, It's december of 2021, and the java world has been rattled by a log4j vulnerability. We hereby certify that, Alex Buchel, THE UNIVERSITY OF WESTERN ONTARIO, 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. But it is clear that these colleagues are attempting to understand topics in QFT and Gravity, with the tools they have at hand. Title: Topological Langlands duality and 1-form symmetries The methods can also be extended to SU(n) or G2 structure metrics Hope you will find them as a useful starting point. 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. Abstract: The D3-D5 and D2-D4 probe-brane systems with nonzero worldvolume flux are holographically dual to N=4 super Yang-Mills and ABJM theory in the presence of half-BPS domain walls. 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. We introduce a. new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? He goes on to explain the landscape philosophy, which he sees string theorists (and himself) as now adopting. [Slides] [Video], Wei Li (Chinese Academy of Sciences) (videos of the talks at the bottom). Based on 2103.10271, 2111.07663 and upcoming work. Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). Certificates YouTube live YouTube playlist of the lectures Only if the string comes from a trusted source. How useful this will be will depend on the symmetries you have available. Maxim Kontsevich (IHS) But the time, the community (and the arXiv) takes care of these mistakes. In this talk, we will explain how to compute concrete equations of mirrors to blow-ups of toric varieties in the framework of the GrossSiebert program. [Slides], Carlos Perez-Sanchez (University of Heidelberg) The Ryu-Takayanagi formula then encodes the fractal dimension of the boundary, while the extremal surfaces encode an important part of the geometry of the buildings, showing a new interplay between ideas from holography and geometric group theory. 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). String Math Summer School. 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. it is true that experiments are real physics. 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. Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] We therefore relate differential and enumerative geometry, topology and geometric representation theory in mathematics, via a maximally-supersymmetric topological quantum field theory with electric-magnetic duality in physics. How do I check if an array includes a value in JavaScript? 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. To summarize the situation, now as it has ever been: 1. Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory As you probably guess from my former comments under the present pseudonym, Im one of those students whom, maybe for lacking courage or ,who knows? Abstract: Gross and Siebert developed a program for understanding mirror symmetry algebro-geometrically. 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. de Lausanne), [D] Nathan Seiberg (Institute for Advanced Study), [T] Ashoke Sen (Harish-Chandra Research Institute), [R]Shu-Heng Shao (Institute for Advanced Study), [T] Yuji Tachikawa (Kavli IPMU and U of Tokyo), [T] Gregory Tarnopolsky (Carnegie MellonU), [T] Gonzalo Torroba (Centro Atmico Bariloche), [D] Edward Witten (Institute for Advanced Study), [G] Ahmadullah Zahed (Bangalore Indian Inst. Math 250 (Vector Analysis) . 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: [Slides], Elise LePage (University of California, Berkeley) Title: Spectrum in quantum mechanics and deformed periods [online talk] In this talk, I will present a match between the large-N saddles of the correlation functions of determinants with semiclassical D-brane configurations in the dual theory, using a spectral curve construction. Juan Maldacena Title: Emergence of Time from Unitary Equivalence When the quiver comes from a smooth local toric Calabi-Yau 3-fold, we obtain a generalization of shifted Yangian, which acts on the cohomology of the moduli space of certain sheaves of the 3-fold. Braces are not supported, am I right? Thats about the general problem of quantizing a symplectic manifold, but my impression was that Witten was thinking of the even more general problem of a quantum theory with no known symplectic manifold of which it is the quantization. To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. We show that many 3d theories can be represented as plumbing graphs and hence be able to be constructed by compactifying M5-branes on corresponding plumbing manifolds using the construction of 3d-3d correspondence. Even without LQG, there are many ideas on/in QG which are physically well founded. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. Over-claim? Za te oraz inne osignicia otrzymaa wiele prestiowych nagrd i wyrnie, m.in. LQG calculations claim to reproduce the semi-classical limit. Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. 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). I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. Pawe Caputa How to transform string into integers and operators in Javascript? fiendish mathematics and mind-boggling . From a mathematical perspective, these solutions involve interesting constructions in geometry such as integrable G2-structures and G2-instantons. That looks nothing like the real world, and as Minwalla points out, no one at the Strings conference is even talking about that sort of string theory anymore. This talk is based on joint work with Xenia de la Ossa, arXiv:2111.13221. -) and postfix (e.g. Probably not if you ask me. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. In this talk, I explain an ongoing work to combine them, and to give a higher relations between QFTs and differential cohomology. 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. Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. (Anyway, String Theory is mainly about Quantum Gravity). Ill explain this phenomenon, and propose a new effective algorithm for the calculation of the spectrum which is not based on quantum algebra at all (joint work in progress with A. Soibelman). How do I align things in the following tabular environment? Dear Peter, I believe you are cherry-picking parts of comments. 2021-22. Green and Witten, recto and verso Exactly because of this. Im no whit wiser than when I began. [Slides], Kasia Budzik (Perimeter Institute) 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. Witten says something about a (possible) theory that is intrinsically quantum mechanical, which seems to mean a theory that does not start with a continuous field and quantise it, and which (therefore) presumably cannot be described in that way. Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. 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. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. Of course, I do not justify equally wrong comments from certain string theorists This approach is based on 2105.06039 and is joint work with Aganagic and Rapcak. Rio de Janeiro, RJ, CEP 22460-320, Brasil In other physical contexts you have different symmetries than Poincare, often approximate symmetries. [Slides]. 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. Title: q-series for so(3) and osp(1|2) 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. 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. I am currently reading Weinbergs book to fill some holes in my knowledge. String-Math, June 2013. Invertible QFTs are expected to form a sheaf of \infty-groupoids, and we apply the framework of differential cohomology to this sheaf. Rio de Janeiro, June 18th, 2021. String Theory remains the most magical structure we have encountered in theoretical physics and the magic seems directly connected to the particle physics of the real world Paul-Konstantin Oehlmann (Uppsala University) Of course, a few minutes earlier Witten had explained that no one knows what the theory actually is, which means there is no way to show that it is mathematically inconsistent. Abstract: The main goal of this talk is to present a novel conjectural incarnation of Langlands duality in the purely topological setting of character varieties of 3-manifolds and their quantizations via skein theory. I think I was doing him a favor by not quoting that kind of thing, which he really should be embarrassed about. Every other answer either uses ify regular expressions or use. In 2019, S. Gukov and C. Manolescu initiated a program to mathematically construct via Dehn surgery, and as part of that they conjectured that the Melvin-Morton-Rozansky expansion of the colored Jones polynomials can be re-summed into a two-variable series for knot complements. The way I see the string people (not necessarily those who appear in the media, but those who publish in the arXiv) is as a small set of honest and hard working physicists, technically sophisticated, researching mostly on QFT and Gravity, with various approaches. Our brane engineering approach combines the intersecting brane configurations of HananyWitten with recent work of Costello and Li on twisted supergravity. This public lecture is also a lecture in the Zapytaj fizyka series here is the lecture website. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1, algebra 2, precalculus, and AP calculus classes. Theres a long list of things they are talking about under the name string theory, with the generic problem that the ones that are reasonably well-defined have nothing to do with the real world (e.g., wrong dimension). Others clearly feel differently and think this is of huge significance. 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. 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. [Slides], Martin Bies (University of Pennsylvania) (ii) Every-time I receive a grant report asking for resources, penned by a senior string theorist, Im already able to guess the 1st lines: ST is the only mathematically consistent candidate for understanding quantum gravity while providing a framework potentially unifying all know fundamental interactions. Sheldon Katz (University of Illinois) Correlation functions in the worldsheet theory on AdS_3 are shown to agree with those of the dual CFT_2, with both being given in terms of branched covers. for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Caltech's Feynman Centennial Symposium on 12 May 2018. 3. I will then summarise recent work (with Matthias Gaberdiel and others) on the AdS_3/CFT_2 correspondence, in the tensionless limit, which gives a proof of concept of the above ideas. Abstract: Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. How do I replace all occurrences of a string in JavaScript? Title: Quivers for 3-manifolds Check this JSBenchmark. a proponent of string theory but also a well-known populariser of science, . and Physics), [G]Suman Kundu (Tata Inst. 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. Another talk of Penrose (and a conference in his honour): 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. Title: From BPS crystals to BPS algebras Abstract: The spectrum of BPS states in D=4 supersymmetric field theories and string vacua famously jumps across codimension-one walls in vector multiplet moduli space. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Physics Meets AI, LMU Munich, September 2020. Rafa R. Suszek, Louis Alvarez-Gaume In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. rev2023.3.3.43278. A ternary string is a sequence of n symbols that has some of the digits 0, 1, 2. The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. Title: Quantum duality and Morita theory for chiral algebras [online talk] . 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]. Robert A. Wilson, I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds [Slides] [Video], Brian Williams (University of Edinburgh) Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). Thanks for allowing my last comment. Title:Plumbing graphs with matter Quantum physics studies the smallest objects in the universelike atoms and subatomic particleswhile general relativity typically focuses on larger-scale objects in the universe. Motived by (twisted) holography (following Costello, Gaiotto, Li, and Paquette) we find a holomorphic model describing the minimal twist of the six-dimensional theory. Title: Bootstrapping AdS/BCFT On the other hand, differential cohomology theories, whose relationships with physics are classical, are most modernly understood in terms of sheaves on manifolds with values in (\infty, 1)-categories. Abstract: Quantum curves can be associated with the singular vectors in the Verma modules over the Virasoro algebra. To learn more, see our tips on writing great answers. The string community has been dishonest for at least 20 years, and has absolutely no right to give any lessons about ethics in science. Title: Families of Modular Flux Vacua on Symmetric CY Threefolds 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. Adrian, A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. 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). Share. The LQG example hardly qualifies if you do not have any way to fix the Immirzi parameter and just tune it to get the desired result. Mina Aganagic Albrecht Klemm Please, watch the discussions (there were many) and appreciate that these were honest discussion. 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. I watched the entire video on the Poincare group and, although the path was the same as Weinberg, there was a lot of new information I thought it was excellent. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] StringStringBuilderStringBufferMath. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Cookies and PrivacyAboutEventsNews The only message I hear repeatedly is that String theory is the only game in town. 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. Title: Dirac-Coulomb Hamiltonians[online talk] This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. Math 435 (Differential Geometry) Fall 2020. Just like in the smooth case, one can ask about the multiplicities of BPS states that now carry an additional discrete charge.