For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. 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. Albrecht Klemm Abstract: We will discuss how dualities of quantum field theories can be understood as analogous to Morita equivalences for algebras of various types. Title: Integrability check for open quantum systems in Krylov Space 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). Miranda Cheng David Ben-Zwi Title: On topology change in Poisson-Lie T-duality It is healthy. Hawking tells you what the semiclassical limit is. Title: Quantum duality and Morita theory for chiral algebras [online talk] 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). with the exact opposite agenda.. Please, watch the discussions (there were many) and appreciate that these were honest discussion. [Slides]. [Slides]. Enjoy. Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] I will also touch upon the issue of the Lorentzian vs Euclidean metric slice in the path integral contour of quantum gravity. Piotr Sukowski (chair) Title: The sphere packing problem and beyond. 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). Invertible QFTs are expected to form a sheaf of \infty-groupoids, and we apply the framework of differential cohomology to this sheaf. Based on joint work with Petr Kravchuk and Sridip Pal. Title: Perturbative calculations in twisted 4d gauge theories [online talk] 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. Can I did this command pattern if I declare the operator how it were a variable? 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. Abstract: Homological block, commonly denoted by , is a 3-manifold invariant whose existence was predicted by S. Gukov, D. Pei, P. Putrov, and C. Vafa in 2017 using 3d/3d correspondence. However, I have provided a pure JS solution (w/o eval). I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. a proponent of string theory but also a well-known populariser of science, . Notes (with animations), Video. The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. This feature could come in handy in projects where we want to evaluate math expressions provided in string format. I saw the discussions you refer to. (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. 2013 Nov. Osaka City University, Japan. Berkeley Informal String-Math Seminar. Check this JSBenchmark. The recording of the lecture can be found here. Oh, God, how hard Ive slaved away, 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. Title:Landau-Ginzburg models for cominuscule homogeneous spaces NN-QFT Correspondence. Title: Deriving Gauge-String Duality The two domain wall systems are thought to be integrable; the evidence comes mainly from the study of correlation functions at weak coupling. [Slides], Shi Cheng (University of Warsaw) [Slides]. Maryna Viazovska was awarded with the Fields medal, https://www.fuw.edu.pl/faculty-of-physics-home.html, Hera guesthouse of the University of Warsaw (budget option), https://warsawgenomics.pl/en/sars-cov-2/koronawirus-rtpcr. 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. 4. rotations and translations are typically discretized due to the presence of a lattice)? I do not know if outreach sessions like the ones we witnessed in this Strings-conference are the best idea. An exchange that was otherwise quite lively and interesting, you paint in the worst possible way. A ternary string is a sequence of n symbols that has some of the digits 0, 1, 2. [Slides] [Video], Brian Williams (University of Edinburgh) Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] Exactly because of this. Of course, I do not justify equally wrong comments from certain string theorists Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. 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. 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. 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. Title: Topological Langlands duality and 1-form symmetries Juan Maldacena Title: Categorical Enumerative Invariants Rio de Janeiro, June 18th, 2021. Title: Holomorphic Floer theory and Donaldson-Thomas invariants I will also discuss a second application, a new definition of FJRW invariants in the presence of an arbitrary symmetry group. [Slides], Sachin Chauhan (Indian Institute of Technology, Bombay) Physically, flow treesprovide a mesoscopic representation of BPS states as nested multi-centered bound states of elementary constituents. 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. Title: String integrability of defect CFT and dynamical reflection matrices LQG calculations claim to reproduce the semi-classical limit. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. [Slides] [Video], Dan Freed (University of Texas at Austin) 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. nagrod Salema, nagrod Matematycznego Instytutu Claya, nagrod New Horizons in Mathematics. [Slides], Sam Gunningham (Montana State University) Hello, Robert A. Wilson Additionally, Evaluator.js intelligently reports invalid syntax, such as a misused operator, missing operand, or mismatched parentheses. All, rev2023.3.3.43278. 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. 2. 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. Title: Counting BPS states with discrete charges in M-theory We will speak about the history of Keplers conjecture. [Slides] [Video], Dalimil Mazac (IAS) [Slides], Martin Bies (University of Pennsylvania) Studiowaa na uniwersytecie im. (not not) operator in JavaScript? Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSP(2|2)$. (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) It also gives one a feeling for how Arkani-Hamed works through problems. In this talk I will introduce the heterotic G2 system and show how to construct families of solutions using homogeneous 3-Sasakian manifolds with squashed metrics. Title: A holomorphic approach to fivebranes He goes on to explain the landscape philosophy, which he sees string theorists (and himself) as now adopting. Caltech's Feynman Centennial Symposium on 12 May 2018. General string perturbation theory using 2d conformal field theory. [Slides] [Video], Yaping Yang (University of Melbourne) In my view, this anxiety to communicate to the public the latest developments is a sign of certain immaturity. Please, do appreciate that negative comments like yours distort the ideas the general public (or even physicists in other areas) have about String Theory, or Theoretical Physics in general. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online eventSpeaker: Mina Aganagic (UC Berkeley)Lecture title: Knot homologies from mirror symmetryEvent 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. 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. 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. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Condensed matter physics is a quite different story. Little string theories also possess T-duality as well as higher form- and group symmetries. [Slides] [Video], Maxim Kontsevich (IHS) 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. The University of Warsaw The University of Warsaw, founded in 1816, is the largest university in Poland and a leading research centre in the country and in this region of Europe. 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. What is a word for the arcane equivalent of a monastery? How do I align things in the following tabular environment? We have a lunch on the 4th floor of Physics South before the seminar. Its very good but he often leaves the reader a lot to figure out. At the time I drop those lines, more than 50 years from dual resonance models?, I havent found any convincingly argument. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. It's december of 2021, and the java world has been rattled by a log4j vulnerability. Others clearly feel differently and think this is of huge significance. 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. Adrian Langer . !) Green and Witten, recto and verso 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. Rafa R. Suszek, Louis Alvarez-Gaume We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSP(1|2)$. Title: Magnetic quivers for Superconformal Field Theories Ironically, the very fact that he had to refer to it at all should alarm them. That would be something like (a real implementation will be somewhat more complex, especially if you consider the use of parenthesis, but you get the idea). [Slides] [Video], Conan Leung (Chinese University of Hong Kong) 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. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. Hope you will find them as a useful starting point. The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. Abstract: Liouville field theory was introduced by Polyakov in the eighties in the context of string theory.