Pawe Caputa Nikita Nekrasov 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. String theorist: indeed, whats QCD?. The recording of the lecture can be found here. Experimentalist: I have to compute QCD, Wikipedia says I need to add unphysical ghosts on a local section and their fiberwise duals and project out the quotient Fock space isomorphic to the supergraded BRST cohomology pullback of the field configuration along a vertical diffeomorphism of the principal BatalinVilkovisky anafestic G-bundle, as if it were antani. Physically, flow treesprovide a mesoscopic representation of BPS states as nested multi-centered bound states of elementary constituents. These higher-categories are constructed by equivariantizing higher-categories corresponding to invertible higher-form symmetries. Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. Penroses talk is interesting (https://www.youtube.com/watch?v=hk_6EtWUatM), as is the discussion between him and string folks afterwards. [Slides], Nicolo Piazzalunga (Uppsala University) Title: Revisiting Heterotic ALE Instantons: F-theory, 2-groups, and T-duality [Slides] [Video], Fabian Ruehle (Northeastern University) 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. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. 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. Boris Pioline (Universit Pierre et Marie Curie) Share. We determine the T-dual theories and match those global symmetries across the dualities. @DKepler Hello, Robert A. Wilson Leonardo Rastelli CICADAS [i.e. 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 will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. APCS. Adrian, These boring predictions, if confirmed by DUNE, will show that also in experimental physics no real stuff is happening. How do I check if an array includes a value in JavaScript? This jargon sounds a bit confusing. [Slides] [Video], Rajesh Gopakumar (ICTS, Bangalore) I am not a fan of string theory. (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. Title: q-series for so(3) and osp(1|2) Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. Abstract: Gross and Siebert developed a program for understanding mirror symmetry algebro-geometrically. 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. The problem with the string theory hype is not that its new, exciting, cutting-edge speculation, rather than well-established. 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). Im sorry if I cannot comment on other approaches to quantum gravity or non-stringy grand unification programs. 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. 4. And how I regret it, D-branes also Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). 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. 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. 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. Dear Peter, 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). All, 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. 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. [Slides] [Video], Yaping Yang (University of Melbourne) String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. 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. Certificates YouTube live YouTube playlist of the lectures 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. [Slides] [Video], Conan Leung (Chinese University of Hong Kong) 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. June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. Title: From BPS crystals to BPS algebras Once again, this is just an opinion. Strings 2021 started today, program is available here. Green and Witten, recto and verso 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. But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) 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. 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). Title: Deriving Gauge-String Duality Evaluator.js is used by a desktop calculator application of the same name. Rio de Janeiro, RJ, CEP 22460-320, Brasil According to this philosophy, connection to particle physics appear[s] hopeless/parochial/unimportant. Can they make mistakes? Workshop on Algebraic Geometry and Machine Learning, Tsinghua Sanya International Mathematics Forum, January 2021. Abstract:We discuss abelian 3d N=2 theories T[,U(1)] engineered by plumbing manifolds . Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. 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. 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). Exactly because of this. Off topic, but the European congress of Mathematics has finished up. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. Unfortunately, finding explicit solutions to the system is a challenging problem due to the existence of an anomaly cancellation condition for the gauge fields. 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. Much as I love this general topic, its getting far from the topic of the posting, so Ill just advise: read my book. 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. Title: Holomorphic Floer theory and Donaldson-Thomas invariants 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. Whats really bizarre about the current situation is that string theory has completely decoupled from any well-defined proposal for an actual 3+1 d unified theory of gravity and the SM, while at the same time its proponents claim it is the only game in town. Abstract: Three-manifold invariants $\hat Z$ (Z-hat), also known as homological blocks, are $q$-series with integer coefficients. If people think carrying on this argument is a good use of their time, they are encouraged to do so elsewhere. Please, no more about the only string theory can compute the Black Hole entropy arguments. Title: Algebras and Entropies TheamplituhedronAn,k,m(Z)is the image of the positive Grassmannian Grk,n0under a positive linear mapRnRk+m. [Video], Hulya Arguz (IST Austria) Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. Math 435 (Differential Geometry) Fall 2020. This provides an enumerative interpretation of the A-model topological string partition function on non-commutative resolutions of the singular Calabi-Yaus. Za te oraz inne osignicia otrzymaa wiele prestiowych nagrd i wyrnie, m.in. General string perturbation theory using 2d conformal field theory. There are many equivalent graphs that are related by Kirby moves which are interpreted as integrating out gauge nodes from the perspectives of 3d theories. Elements of this Hilbert space can be thought of as local operators living in a (d-1)-dimensional spacetime. Title: Families of solutions of the heterotic G2 system Following Nimas final recommendation, an experimentalist and a string theorist hang out together. Update: At String 2021, yesterday Nima Arkani-Hamed gave a talk on Connecting String Theory to the Real World We See Outside Our Windows, where he sometimes sounds like me, contrasting the pre-LHC claims of string theorists: 1. String Math 2021, held online by IMPA, Rio de Janeiro, Rio de Janeiro, June 14 - 18, 2021. Does a barbarian benefit from the fast movement ability while wearing medium armor? We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. Only if the string comes from a trusted source. Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. String theory calculations that can be done in unphysical situations (wrong dimension, lots of SUSY, extremal black holes) claim to reproduce the semiclassical limit. The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. 2. Not all N = (0, 4) boundary conditions admit such deformations. Possible applications include computing massive string excitations, volumes of non-calibrated cycles, the SYZ conjecture, and approximating solutions to the Hermitian Yang-Mills equations. We also discuss generalizations to b_2^+(X)>1. how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). See a live demo on the website. Nothing will be said about multiverses or swampland on what follows. In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. The video answered some questions that I still had (e.g. Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. Yuya Kusuki (California Institute of Technology) [Slides] [Video], Nikita Nekrasov (Simons Center for Geometry and Physics) Title: Category of QFTs and differential cohomology Abstract: Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. It's december of 2021, and the java world has been rattled by a log4j vulnerability. [Slides]. !) The only message I hear repeatedly is that String theory is the only game in town. Summary Talk. crickets]. Title: Finite symmetry in field theory The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. 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. Jerome Gauntlett, Rajesh Gopakumar, Mariana Grana, Michael Green, David Gross, Daniel Grumiller, Jeff Harvey, Marc Henneaux, Veronika Hubeny, Marina Huerta, Janet Hung, Antal Jevicki, Clifford Johnson, Shamit Kachru, Zohar Komargodski, Finn Larsen, Yolanda Lozano, Kimyeong Lee, Dieter Luest, Juan Maldacena, Shiraz Minwalla, Jeff Murugan, Rob Myers, Hirosi Ooguri, Leo Pando-Zayas, Silvia Penati, Fernando Quevedo, Eliezer Rabinovici, John Schwarz, Nathan Seiberg, Ashoke Sen, Steve Shenker, Eva Silverstein, Wei Song, Andy Strominger, Tadashi Takayanagi, Sandeep Trivedi, Cumrun Vafa, Pedro Vieira, Anastasia Volovich, Spenta Wadia, Edward Witten, Konstantin Zarembo. 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. 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. Based on numerous works with G. Baverez, F. David, C. Guillarmou, A. Kupiainen, R. Rhodes. Since its online only, talks are much more accessible than usual (and since its free, over 2000 people have registered to in principle participate via Zoom). 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. StringStringfinal . IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. 2021-22. The talk is based on work in collaboration with Davide Gaiotto. Announcement String Math 2022 Lorenz Eberhard(IAS) String correlators on AdS3 17:00 - 17:50 14:00 - 14:50 Melissa Liu(Columbia University) Wall-Crossing for the Mirror Quintic . During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. I did watch fully the discussions I wrote about here, also took a look at many of the others. 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. 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. 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. I notice that Roger Penrose, a well-know string theory skeptic, will be giving a talk on the last day of the conference next week. In this talk, I will construct a large class of discrete geometric structures in all dimensions that satisfy these two properties, using the theory of hyperbolic buildings. Georgios Linardopoulos (Wigner Research Centre for Physics) Particularly, the change of variable relating $SU(2)$ link invariants to the $SO(3)$ \& $OSP(1|2)$ link invariants plays a crucial role in explicitly writing the $q$-series. Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity In particular, he discovered a hidden structure governed by Bernoulli numbers. Thanks for allowing my last comment. The real stuff happens in physics without a press release, book, or blog. I will show how this calculation works for su(2) and give an example. Title: Integrability check for open quantum systems in Krylov Space String Math 2021 - Lara Anderson (Virginia Tech) - YouTube IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Lara Anderson (Virginia Tech)Lecture title:. Title: The character of M-theory To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. Recently, a rigorous probabilistic construction of the path integral was provided using the Gaussian Free Field. Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. Title: Spectrum in quantum mechanics and deformed periods [online talk] 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. His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). The problem is not that its too new to be evaluated properly, but that its been a failure. 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: Currently, there is a strong interest in the study of non-invertible symmetries of quantum field theories. fiendish mathematics and mind-boggling . How is the idea that particles are irreducible representations of the Poincar group work in the context of quasiparticles in condensed matter physics, where the underlying system background is generally not symmetric under Poincar transformations (e.g. One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. Title: Emergence of Time from Unitary Equivalence Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. Using Hands-On Tools to Monitor Progress and Assess Students in Math. Can I did this command pattern if I declare the operator how it were a variable? In this talk, I will review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. With what result? We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. David Morrison (University of California) It's december of 2021, and the java world has been rattled by a log4j vulnerability. Probably the best answer. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. UBC, Vancouver, Canada. 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. String-Math 2021 conference (IMPA, Rio de Janeiro), [R = Review lecture] ; [D = Discussion session] ; [T = Research talk] ; [P = Public lecture] ; [S = Starting/Summary talks] ; [G = Gong-show talk]. Hawking tells you what the semiclassical limit is. 2. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] 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. Piotr Sukowski (chair) The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. Abstract: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics. 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 Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. This is a joint work with K. Ohmori (U. Tokyo). Paraphrasing Fermat, I have discovered the ugly truth of this, which this margin is too narrow to contain. Nevertheless, it may be worthy registering on this blog some of those problems which arent enough emphasized. Czy wyraasz na to zgod? [Slides]. [Slides] [Video], Brian Williams (University of Edinburgh) To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. My talk will be based on recent joint work with Baej Ruba. 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. To begin with, we'll discuss a few third-party libraries and their usage. Still, I think the best choice you can make is to use eval, given that you're able to trust the source of the string. 1 Let n be a natural number, n3. Fd. Another series of talks that I took a look at and that I can recommend is Nima Arkani-Hameds lectures on Physics at Future Colliders at the ICTP summer school on particle physics. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) Francis (Skip) Fennell | Nov 3, 2021 . Here is an implementation of the Shunting-yard algorithm with additional support for unary prefix (e.g. Mina Aganagic Our brane engineering approach combines the intersecting brane configurations of HananyWitten with recent work of Costello and Li on twisted supergravity. Title: On topology change in Poisson-Lie T-duality But this procedure you adopted in this post, is not the best way of understanding science, or communicating it. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The two-step procedure involves first finding points on the Calabi-Yau manifold and then approximating the Ricci-flat metric by approximating solutions to the underlying Monge-Ampere equation. The spin-bundle required to defined fermion content from SUSY multiplet depends on the metric signature. 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. The only game in town in fundamental physics now is to give up on a theory of the real world. 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. You can sanitize the string with a regex first to be safe: If you wanted another method, you'd have to use a pure Javascript implementation of the exact thing eval is going to do. Dan Freed (University of Texas at Austin) Hiraku Nakajima [Slides], Kasia Budzik (Perimeter Institute) Abstract: We will discuss how dualities of quantum field theories can be understood as analogous to Morita equivalences for algebras of various types. Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. Title: The sphere packing problem and beyond. Quantum gravity: String theory is a theory of quantum gravity because it attempts to merge quantum physics with the theory of general relativity. Strings 2021 Summary Talk, So Paulo (June 21 - July 2, 2021) [on-line] . Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). 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. Title: Langlands duality for 3-manifolds