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. 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. The general principle is that whenever you have a group acting on a physical quantum system, the state space will be a unitary representation of that group, and unitary representations break up into irreducible representations. Yes, but I cant imagine that Witten was thinking of anything as well known and well understood as a qubit. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. Author: Online2PDF.com Created Date: Once again, this is just an opinion. [Slides] [Video], Nikita Nekrasov (Simons Center for Geometry and Physics) Depending on the coupling constant and dimension, they exhibit several distinct scaling behaviors (or if you prefer the high energy jargon, various renormalization group flows). (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. 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. 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. Mark Gross This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. Philip Candelas As has been the case for many years, it doesnt look like there will be anything significantly new on the age-old problems of getting fundamental physics out of a string theory. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSP(2|2)$. Enjoy, This solution also clips whitespaces and checks for duplicating operators, e.g. ' Its very good but he often leaves the reader a lot to figure out. They have obvious applications to atomic physics. What is a word for the arcane equivalent of a monastery? 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. While Ooguri has his own interpretation about this observation (incoming flux of young people in the field is as healthy as ever), I wonder what others think about it. I will discussa phenomenon similar to Frobenius of modular representation theory. [Slides] [Video], Fabian Ruehle (Northeastern University) Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. On the utility of the equation 2+4=6 in supersymmetric quantum field theory. Thanks for allowing my last comment. So, does anyone know about alternatives to eval()? We engineer these models using toric geometry techniques to construct non-compact threefolds that manifestly have multiple fibrations and hence M/F-theory lifts. UBC, Vancouver, Canada. T-duality then becomes a fibre-base duality of the threefold which allows us to compute the little-string-charges directly from the Kac labels of the dual gauge groups. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. We have a lunch on the 4th floor of Physics South before the seminar. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. 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. 5. Just viewed the last question and answer session. Hope you will find them as a useful starting point. In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. it is true that experiments are real physics. He goes on to explain the landscape philosophy, which he sees string theorists (and himself) as now adopting. Dear Peter, I believe you are cherry-picking parts of comments. Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. 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. (videos of the talks at the bottom). Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. It is healthy. There are other views, it is a matter of taste. PDF Aalok Misra Indian Institute of Technology Roorkee - IMPA It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. Georgios Linardopoulos (Wigner Research Centre for Physics) 4. 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. Calculate string value in javascript, not using eval [Slides], Sachin Chauhan (Indian Institute of Technology, Bombay) We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. Simon Donaldson 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. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds Abstract: It has been found, originally in the context of black hole thermodynamics, that the concept of entropy is better-defined in the presence of gravity than in ordinary quantum field theory without gravity. 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. How to evaluate a math expression given in string form? [Slides] [Video], Dan Freed (University of Texas at Austin) 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: Spectrum in quantum mechanics and deformed periods [online talk] Title: String integrability of defect CFT and dynamical reflection matrices PDF String Math 2021 - IMPA All sessions were recorded and are available at the Youtube daily links below or by clicking on the lecture in the Schedule: Strings 2021 is an annual conference that brings together the entire string theory community. 10. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSP(1|2)$. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. This is joint work with Constantin Teleman and Greg Moore. Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. I believe I am not misguided. This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. [Slides] [Video], Jan Dereziski (University of Warsaw) [Slides], Pawe Ciosmak (IDEAS NCBiR) Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction A place where magic is studied and practiced? StringStringfinal . 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. how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). You are possibly right its now pointless to debate those issues. Enter your email address to subscribe to this blog and receive notifications of new posts by email. It's december of 2021, and the java world has been rattled by a log4j vulnerability. 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. I hadn't known about this until your post. Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] Besides reviews of major developments in the field and specialized talks on specific topics, an important novelty will be several informal discussions involving two researchers and the conference participants. 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. Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison) Math Talks and Number Strings provide the foundation to help students improve their understanding and comprehension of numbers. Abstract: I will present some conjectures for higher-rank K-theoretic Donaldson-Thomas theory on toric three-folds, and some lessons that we learned from working equivariantly on non-compact spaces. Title: Cohomological-type Hall algebras and their representation theory where the dualisable dimensions are fibred over a `spectator base). . Title: Giant Gravitons in Twisted Holography But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. rotations and translations are typically discretized due to the presence of a lattice)? Greg Moore 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. AP Computer Science A 2021-22. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. Any other way wouldn't be as efficient. (UoS & CNRS) Quantum G & of Looijenga pairs Berkeley String-Math 2021 Overview The two main messages: 1ve (different, but equivalent) string-theory motivated enumerative theories built from (X;D) 2they are all closed-form solvable Joint with P. Bousseau (ETH Zrich/Saclay) and M. van Garrel (Warwick/Birmingham). String Math 2021 - Giovanni Felder (ETH Zrich) - YouTube I could go on the whole night, but I believe, as most other string theorists do, there are more urgent or at least doable problems to solve now. To begin with, we'll discuss a few third-party libraries and their usage. 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. We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. Title: Perturbative calculations in twisted 4d gauge theories [online talk] This is a joint work with K. Ohmori (U. Tokyo). Thats interesting, can you give pointers? Title: Bootstrapping AdS/BCFT His second talk explains how to think of things in terms of classifying representations of the Poincare group, an old topic that unfortunately is often no longer taught (see chapter 42 of my QM textbook). http://silentmatt.com/javascript-expression-evaluator/, http://www.codeproject.com/KB/scripting/jsexpressioneval.aspx, I spent a couple of hours to implement all the arithmetical rules without using eval() and finally I published a package on npm string-math. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. [Slides]. Much as I love this general topic, its getting far from the topic of the posting, so Ill just advise: read my book. Title: Finite symmetry in field theory But in my view a real mistake in the long run. Make an operation based on string, including priority for multiplication and division with vanilla javascript and nodejs. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Title: q-series for so(3) and osp(1|2) June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. Berkeley Informal String-Math Seminar. Not the answer you're looking for? . 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. 2014 June. Lectures at St. Ottilien: Quantum Symmetries and K-Theory. 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. The only message I hear repeatedly is that String theory is the only game in town. Abstract: During my presentation, I will discuss certain equivalences between conformal field theories with a continuous spectrum: Liouville theory, its supersymmetric extension, and models based on the affine su(2) algebra with irrational level. I am not a fan of string theory. Postal Address:Instituto de Matemtica Pura e Aplicada 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. 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. Follow In this talk, I explain an ongoing work to combine them, and to give a higher relations between QFTs and differential cohomology. Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity Off topic, but the European congress of Mathematics has finished up. Nicolai Reshetikhin Hirosi Ooguri (Caltech & IPMU) Adrian Langer The recording of the lecture can be found here. Please, no more about the only string theory can compute the Black Hole entropy arguments. Dec 18, 2021 at 16:43. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. Anyway, truly bold attempt! Of course, I do not justify equally wrong comments from certain string theorists Title: Families of Modular Flux Vacua on Symmetric CY Threefolds IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Simon Donaldson (Imperial College)Lecture title: Calibrated geometry and gauge . Additionally, Evaluator.js intelligently reports invalid syntax, such as a misused operator, missing operand, or mismatched parentheses. and Physics), [G]Suman Kundu (Tata Inst. How to format a number with commas as thousands separators? Probably the best answer. 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]. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. And how I regret it, D-branes also This approach is based on 2105.06039 and is joint work with Aganagic and Rapcak. 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. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. We provide significant evidence that averaging plays an important role in reproducingsemiclassical gravity in AdS/BCFT. In my case, I will give a run, certainly much more healthy, no? By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. I will also touch upon the issue of the Lorentzian vs Euclidean metric slice in the path integral contour of quantum gravity. CRM, Montreal, Canada. 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. Infinite Analysis 13 Autumn School on Quantum Dilogarithm, Modular Double, and Representation Theory. The unitary equivalence relation implies a duality between the modular flow and time evolution. String Math 2021 - Lara Anderson (Virginia Tech) - YouTube Sat 3 Apr 2021 12.00 EDT Last modified on Tue 6 Apr 2021 09.54 EDT. Divergence of perturbation theory in quantum electrodynamics. Mina Aganagic String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. [Slides], Aranya Bhattacharya (IISc, Bangalore) Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? What am I doing wrong here in the PlotLegends specification? 2021-22. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. Do I need a thermal expansion tank if I already have a pressure tank? CEIs are associated to an arbitrary Calabi-Yau category, together with a splitting of the Hodge filtration. 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. 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. We introduce a new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? Abstract: Superconformal field theories with 8 supercharges in spacetime dimensions 3 to 6 have a large moduli space of vacua. [Slides], Muyang Liu (Uppsala University) One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. 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). More operators/functions can be easily defined with the Calculation.defineOperator method: If you don't want to use eval you will have to use an existing expression evaluator library. 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). (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) 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. Ironically, the very fact that he had to refer to it at all should alarm them. [Slides] [Video], Mayuko Yamashita (Kyoto University) 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. There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. (not not) operator in JavaScript? It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. Likely Witten was thinking of things like the 6d (2,0) superconformal theory which has not classical limit and its construction is somewhat mysterious. But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) In this case, because the string is assumed to be safe and trusted, we would expect use of either eval() or the Function constructor to be reasonable. People are attempting to understand things, with the tools at hand. 1+ 2 *2' // 5 but ' 1 + +2* 2 ' // Error, This shows to be more performant than @vol7ron's solution. 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. The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. Abstract: One aspect of the relation between physics and arithmetic geometry is the conjectured correspondence between supersymmetric flux vacua and weight-2 modular CY threefolds. 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. Edward Witten (Institute for Advanced Study) Title: Deriving Gauge-String Duality Title: Langlands duality for 3-manifolds Reimundo Heluani Organizing Committee. [Slides] [Video], Sam Raskin (University of Texas at Austin) Math 250 (Vector Analysis) . . This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. This gives the symmetry algebra action on the categorifiedDT. Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. How to check whether a string contains a substring in JavaScript? Tarasa Szewczenki oraz w Instytucie Matematyki Ukraiskiej akademii Nauk w Kijowie, a nastpnie uzyskaa stopie magistra na uniwersytecie w Kaiserlautern, oraz stopie doktora w 2013 r. na uniwersytecie w Bonn w Niemczech. 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. From the README: Title: Geometry of Higher-Form Group Structures in String Theory An exchange that was otherwise quite lively and interesting, you paint in the worst possible way. [Slides] [Video], Sunghyuk Park (California Institute of Technology) For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. 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. The EMS prizes are always a good indication of future Fields medalists [Slides], Elise LePage (University of California, Berkeley) Only if the string comes from a trusted source. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. Nikita Nekrasov We present a novel construction of such flux vacua in permutation-symmetric multiparameter compactifications, and develop methods for efficiently computing the zeta functions of the corresponding geometries. To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap.