Determinant operators in the chiral algebra insert Giant Graviton branes in the dual geometry. 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. I just took a look at that session and thought one remarkable point was where people were asked what would cause you to give up on string theory? The only answers forthcoming were from Igor Klebanov, who said he had been working on it his whole life, so couldnt see himself giving up on it, and Ashoke Sen, who said he would only give up on it if it were shown to be mathematically inconsistent. Here is an implementation of the Shunting-yard algorithm with additional support for unary prefix (e.g. Title: Quantum duality and Morita theory for chiral algebras [online talk] Making statements based on opinion; back them up with references or personal experience. Title: Path integral derivations of K-theoretic Donaldson invariants What does "use strict" do in JavaScript, and what is the reasoning behind it? Physical Review, 85(4), p.631. Simon Donaldson (i) No one convincingly proved the mathematical equivalence between the RNS superstrings and GS formalism. 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. The video answered some questions that I still had (e.g. StringBufferStringBuilder 1. AP Computer Science A 2021-22. 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. We introduce a new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? Home page of Greg Moore - Rutgers University Unfortunately, finding explicit solutions to the system is a challenging problem due to the existence of an anomaly cancellation condition for the gauge fields. Sheldon Katz (University of Illinois) Suomynona, 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. [Slides], Shi Cheng (University of Warsaw) Number Strings & Math Talk Routines for Grades 3-5. 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. Abstract: I will discuss the theory of Dirac operators perturbed by the Coulomb potential in an arbitrary dimension. Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. Based on 2103.10271, 2111.07663 and upcoming work. LHC will discover SUSY Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . Title: The character of M-theory Everything is in the description. [Slides], Martin Bies (University of Pennsylvania) A place where magic is studied and practiced? 2013 Jul. I will present a general overview of the theory of CEIs, and discuss how it provides a conjectural approach to understanding enumerative mirror symmetry for the quintic threefold, in arbitrary genus. Yes, but I cant imagine that Witten was thinking of anything as well known and well understood as a qubit. If youre so concerned about the public or physics community getting misled, surely youve contacted the organizers of and participants in the conferences Outreach activities , To this I was referring with my phrase Is it possible to create a concave light? One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. Maxim Kontsevich (IHS) 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. I will discussa phenomenon similar to Frobenius of modular representation theory. 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. 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. 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). [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) This topic has been recently explored,from several differentperspectives,by Kontsevich-Soibelman and Doan-Rezchikov. Katrin Wendland, Ron Donagi (University of Pennsylvania) IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Giovanni Felder (ETH Zrich)Lecture title: Superstring measure and the superper. Title: Deriving Gauge-String Duality Fall 2021. Additionally, Evaluator.js intelligently reports invalid syntax, such as a misused operator, missing operand, or mismatched parentheses. Pawe Caputa But this is just an opinion. 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 propose that the matching of 5d coulomb branches plus the 2-group structure constants determined by the higher form symmetry of LSTs as criteria to predict heterotic T-dual candidates.The exploitation are generalized by picking non-trivial flat connections at the infinity to break E8 and Spin(32)/Z2 into their subgroups and confirm these T-dualities by the matching of criteria aforementioned. This construction has several advantages and opens perspectives towards generalization to the case of the $cW$-algebras This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. 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. Sakura Schafer-Nameki Just viewed the last question and answer session. This is damaging. Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] This is enabledby thesurprisingappearanceof a Penner-like matrix model whose spectral curve turns out to give a Strebel differential. 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. The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. Robert A. Wilson, June 14-18: Pre-Strings 2021 school (IIP, Natal), [D] Nima Arkani-Hamed (Institute for Advanced Study), [T] Horacio Casini (Centro Atmico Bariloche), [T] Lorenz Eberhardt (Institute for Advanced Study), [T] Clifford Johnson (U of Southern California), [D] Vladimir Kazakov (Ecole Normale Superieure), [T] Zohar Komargodski (Simons Center for Geom. 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? Philip Candelas -) and postfix (e.g. I believe that your permanent opposing the string hypes is good and welcomed. How to transform string into integers and operators in Javascript? In physical terms, we will discuss a relation between the BPS spectrum of an N=2 4-dimensional field theory and the enumerative geometry of the corresponding Seiberg-Witten integrable system. PDF University of Shefeld & CNRS - University of California, Berkeley Abstract: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics. 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. The nature of simulating nature: A Q&A with IBM Quantum researcher Dr. Jamie We've added a "Necessary cookies only" option to the cookie consent popup. NN-QFT Correspondence. F-theory vacua with exactly one Higgs field and no vector-like exotics. I will then outline work in progress with Gunningham and Safronov to prove the conjecture in a number of special cases. Finally, I will discuss some applications. In my case, I will give a run, certainly much more healthy, no? The next String Math conference will take place on July 10-14, 2023, at the University of Melbourne in Australia. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. With what result? Any consistent theory of quantum gravity should reproduce this semiclassical limit. Title: Homological blocks and R-matrices However, this is an unrealistically simple description of the situation, even for a basic example such as the classical phase space.. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSP(1|2)$. Of course, these are people. 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. So, does anyone know about alternatives to eval()? Edward Witten (Institute for Advanced Study) [Slides] [Video], Brian Williams (University of Edinburgh) What is a word for the arcane equivalent of a monastery? David Morrison (University of California) I will argue that they are encoded in the topological string partition functions of the singular Calabi-Yau itself and its various non-commutative resolutions. Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). The following articles by Carlip provide a nice overall perspective, drawing attention to the universality of BH entropy derived in different approaches to QG what he refers to as an embarrassment of riches. 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. Matthias Gaberdiel @DKepler Berkeley Informal String-Math Seminar. Matilde Marcolli To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. Reimundo Heluani's Homepage - IMPA 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. We can exhibit for instance a duality between a trivial bundle with abelian isometries and a non-trivial *bibundle* with a nonabelian Poisson-Lie group action. I did watch fully the discussions I wrote about here, also took a look at many of the others. Exactly because of this. 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. Talks are available for watching every day via Youtube, links are on the main page. We will speak about the history of Keplers conjecture. The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. 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). How useful this will be will depend on the symmetries you have available. 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. 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. Webinars - hand2mind It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. 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. We also provide the action of braiding on the relevant branes, so we can calculate Khovanov homology for any knot given its braid representation. Thanks for allowing my last comment. 2014 June. String-Math, June 2013. I will first sketch a broad approach to systematically understand the underpinnings of this still mysterious connection between gauge theories (in the large N limit) and perturbative closed string theory. Im no whit wiser than when I began. String Data 2020, CERN, December 2020. Abstract: Since 2017, knots and symmetric quivers are known to be intimately related via BPS spectra. I will illustrate this construction on examples of low rank 4d N=2 SCFTs. This feature could come in handy in projects where we want to evaluate math expressions provided in string format. We also discuss generalizations to b_2^+(X)>1. Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory (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). To begin with, we'll discuss a few third-party libraries and their usage. 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. . How do I align things in the following tabular environment? The point though is that there are plenty of much simpler examples, which often can be understood purely in terms of representation theory. You are possibly right its now pointless to debate those issues. We provide significant evidence that averaging plays an important role in reproducing. 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. Title: String integrability of defect CFT and dynamical reflection matrices Mark Gross This is joint work with Mark Gross. Result is the same as without the 'new'. What is the point of Thrower's Bandolier? for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Using Hands-On Tools to Monitor Progress and Assess Students in Math. StringStringfinal . Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. I agree with Felix. Elements of this Hilbert space can be thought of as local operators living in a (d-1)-dimensional spacetime. Adrian, 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. - rgbk21. [Slides]. This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. Yuji Tachikawa 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. However, I have provided a pure JS solution (w/o eval). problemu upakowania sfer w wymiarze 8, a take we wsppracy z innymi matematykami rozwizanie tego problemu w wymiarze 24. 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. Abstract: Three-manifold invariants $\hat Z$ (Z-hat), also known as homological blocks, are $q$-series with integer coefficients. If youre so concerned about the public or physics community getting misled, surely youve contacted the organizers of and participants in the conferences Outreach activities. lun, Pyry Kuusela (University of Oxford) [Slides] [Video], Wei Li (Chinese Academy of Sciences) Share. String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. [Slides] [Video], Maxim Kontsevich (IHS) CRM, Montreal, Canada. Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Follow I do not know if outreach sessions like the ones we witnessed in this Strings-conference are the best idea. I will show how this calculation works for su(2) and give an example. 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). Black Hole Entropy and the Problem of Universality [https://arxiv.org/abs/gr-qc/0702094]. Dear Peter, Joerg Teschner (DESY) [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison) Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. 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. Brittany Goerig | Oct 14, 2020 | 00:56:54. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. Piotr Kucharski (University of Amsterdam) In particular, we provide two different path integral derivations of their wall-crossing formula for b_2^+(X)=1. This relation originally developed from the point of view of matrix models, was later studied from the point of view of conformal field theory. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Enter your email address to subscribe to this blog and receive notifications of new posts by email. Strings 2021 started today, program is available here. What is the !! Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. 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. A better version was given September 22, 2021 at Yan Soibelman's M-seminar. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds ), 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. (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. If you cannot make it work with a default operator, I suggest you ask a new question, pointing out where exactly you get stuck. This goes without saying all technically challenging fundamentally important problems required for superstring theory unification be at least mathematically self-consistent have been left unanswered. Can they make mistakes? Jackiw-Teitelboim/PeterH, Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. Abstract: In 2002, Fukaya proposed a remarkable explanation of mirror symmetry detailing the SYZ conjecture by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi-Yau manifold X and the multi-valued Morse theory on the base B of an SYZ fibration p : X B, and the other between deformation theory of the mirror X and the same multi-valued Morse theory on B. Divergence of perturbation theory in quantum electrodynamics. PDF Si Li - GitHub Pages I think I was doing him a favor by not quoting that kind of thing, which he really should be embarrassed about. Find centralized, trusted content and collaborate around the technologies you use most. These boring predictions, if confirmed by DUNE, will show that also in experimental physics no real stuff is happening. The video is available here , and . [Slides] [Video], Dan Freed (University of Texas at Austin) StringStringBuilderStringBufferMath. Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? Due to its interaction, the system density matrix and operators within the system Hilbert space evolve non-unitarily. Make an operation based on string, including priority for multiplication and division with vanilla javascript and nodejs. The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. Strings 2021 | Not Even Wrong - Columbia University Leonardo Rastelli Abstract: Trace map on deformation quantized algebra leads to the algebraic index theorem. 3. Title: Approximations for Calabi-Yau and other special holonomy/structure metrics Hawking tells you what the semiclassical limit is. 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. 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. Dear Peter, I believe you are cherry-picking parts of comments. Following Nimas final recommendation, an experimentalist and a string theorist hang out together. I suppose I shouldnt have even let that get started. Even without LQG, there are many ideas on/in QG which are physically well founded. Every other answer either uses ify regular expressions or use. Title: Counting BPS states with discrete charges in M-theory I hadn't known about this until your post. How do I replace all occurrences of a string in JavaScript? Requiring the unitary equivalence also implies Modular Chaos Bound = Chaos Bound''. [Slides], Nicolo Piazzalunga (Uppsala University) 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. [Slides] [Video], Netta Engelhardt (MIT) Equivalent plumbing graphs suggest dual theories. Knots and Natural Language. Dec 18, 2021 at 16:43. There will also be a gong show session of 5-minute talks by PhD students and a poster session using Zoom breakout rooms. The knot homology is calculated from homs between particular branes, and we are able to construct projective resolutions of these branes in terms of thimbles, making the computation entirely algebraic. Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. Berkeley Informal String-Math Seminar While the community just spread out to other problems. [Slides] [Video], Fabian Ruehle (Northeastern University) One reason for this being a real mistake is that, divorced from input from the real world, theory becomes sterile: Questions Posed by Nature are Vastly Deeper and more fruitful than ones we humans tend to pose for ourselves. (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) Nikita Nekrasov Physics Meets AI, LMU Munich, September 2020. it is true that experiments are real physics. 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. Georgios Linardopoulos (Wigner Research Centre for Physics) Certificates YouTube live YouTube playlist of the lectures See a live demo on the website. Notes (with animations), Video. You wrote There are other views, it is a matter of taste. 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.