String Data 2020, CERN, December 2020. I hadn't known about this until your post. Title: On topology change in Poisson-Lie T-duality While the community just spread out to other problems. [Slides] [Video], Davide Gaiotto (Perimeter Institute) In the discussion section, Vafa challenges him on this, saying he sees no indication that quantum information theory gives any insight into dualities he sees as the central aspect of the non-perturbative theory. Fall 2021. What am I doing wrong here in the PlotLegends specification? @David Roberts: There are many references that discuss this from different perspectives. 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 Jacek Paweczyk Abstract: I will be discussing my recent work [2110.08179] with Chris Blair and Dan Thompson on topology change in Poisson-Lie T-duality with spectators (i.e. 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. This construction gives rise to new quantum groups. This talk is based on joint work with Xenia de la Ossa, arXiv:2111.13221. Adrian, Even without LQG, there are many ideas on/in QG which are physically well founded. In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. Finally, I will discuss some applications. We physically derive (i) a novel Vafa-Witten four-manifold invariant associated with this moduli space, (ii) their relation to Gromov-Witten invariants, (iii) a novel Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and generalization of a conjecture by Abouzaid-Manolescu about the hypercohomology of a perverse sheaf of vanishing cycles, (vi) a Langlands duality of these invariants, Floer homologies and hypercohomology, and (vii) a quantum geometric Langlands correspondence with purely imaginary parameter that specializes to the classical correspondence in the zero-coupling limit, where Higgs bundles feature in (ii), (iv), (vi) and (vii). Update: In the final discussion section, Witten emphasizes that What is string theory? still has no answer, that we have little idea what it really is. 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. Sen is saying hell give up on string theory if people prove that string theory is inconsistent, but Minwalla and Witten are saying there is no definition of the term string theory. Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? [Slides] [Video], Sunghyuk Park (California Institute of Technology) If people think carrying on this argument is a good use of their time, they are encouraged to do so elsewhere. How do I check if an array includes a value in JavaScript? To begin with, we'll discuss a few third-party libraries and their usage. Zhengping Gui (International Centre for Theoretical Physics) . What is a word for the arcane equivalent of a monastery? (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) Connect and share knowledge within a single location that is structured and easy to search. [Slides] [Video], Lauren Williams (Harvard University) A ternary string is a sequence of n symbols that has some of the digits 0, 1, 2. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. [Slides] [Video], Brian Williams (University of Edinburgh) , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, 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. Of course even his brightest former student couldnt accept that: The experimental community pretty much politely ignores the string theory community, and has, well, since 1974 or so when the analytic S-matrix failed to predict the charmed quark. [Slides] [Video], Rajesh Gopakumar (ICTS, Bangalore) 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. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. 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 review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. Note : There is no library used in this solution purely hard coded, My solution takes into account of brackets also like 8+6(7(-1)) or 8+6(7(-1)), You can do these operations ^, *, /, +, -, To calculate a string use calculate(tokenize(pieval("8+6(7(-1))").join(""))). 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). Workshop on Algebraic Geometry and Machine Learning, Tsinghua Sanya International Mathematics Forum, January 2021. Can they make mistakes? Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) 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. Robert A. Wilson, Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). Abstract: Twisted holography relates the 2d chiral algebra subsector of N = 4 SYM to the B-model topological string theory on the deformed conifold SL(2,C). Their scaling dimensions are related to the Laplacian eigenvalues on the manifold. At the hand of several examples I will illustrate that this phenomenon is generic and that most Calabi-Yau threefolds admit such degenerations and a corresponding refinement of the invariants. While such boundary conditions are not compatible with topological twists, deformations that define boundary conditions for the topological theories were recently introduced by Costello and Gaiotto. Title: Families of solutions of the heterotic G2 system We hereby certify that, Alex Buchel, THE UNIVERSITY OF WESTERN ONTARIO, One can also Higgs chiral multiplets. 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. of topological string partition functions. Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSP(2|2)$. @DKepler 2013 Jul. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. 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. Little string theories also possess T-duality as well as higher form- and group symmetries. The simplest example is the qubit. Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. Fd. Abstract: Superconformal field theories with 8 supercharges in spacetime dimensions 3 to 6 have a large moduli space of vacua. NN-QFT Correspondence. Brittany Goerig | Oct 14, 2020 | 00:56:54. Abstract: The sphere packing problem is a very natural geometric question and it has a long and exciting history. There are other views, it is a matter of taste. This construction has several advantages and opens perspectives towards generalization to the case of the $cW$-algebras This is joint work with Mark Gross. Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory 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. Abstract: I will explain some recent and ongoing work on the state spaces associated to 3-manifolds in the Kapustin-Witten twists of 4d N=4 SYM. It fully encodes the geometry, and a simple algorithm allows access to the structure of nested singularities, which corresponds physically to a generalized Higgs mechanism. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. We will focus on understanding 3d mirror symmetry viachiralalgebras. Title: Giant Gravitons in Twisted Holography In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. 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 . Green and Witten, recto and verso General string perturbation theory using 2d conformal field theory. On the utility of the equation 2+4=6 in supersymmetric quantum field theory. Title: BPSDendroscopyon local Calabi-Yau threefolds But I believe that in todays update of this post you were not intellectually honest. E-mail:eventos@impa.br, Number Theory, Strings, and Quantum Physics, Edward Frenkel (University of California), David Morrison (University of California), Boris Pioline (Sorbonne Universit &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 & The Chinese University of Hong Kong), Dan Freed (University of Texas at Austin), Boris Pioline (Universit Pierre et Marie Curie). Title:Plumbing graphs with matter Title: Algebras and Entropies Correlation functions in the worldsheet theory on AdS_3 are shown to agree with those of the dual CFT_2, with both being given in terms of branched covers. 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). AP Computer Science A 2021-22. The only game in town in fundamental physics now is to give up on a theory of the real world. Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. 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. To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. 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. We provide significant evidence that averaging plays an important role in reproducingsemiclassical gravity in AdS/BCFT. What is the !! StringStringfinal . Title: Families of Modular Flux Vacua on Symmetric CY Threefolds Abstract: In this talk, I will revisit the construction of heterotic ALE instantons and the corresponding T-dual systems in 6D little string theories (LSTs). String Math 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:. [Slides] [Video], David Jordan (University of Edinburgh) LHC will discover SUSY How to evaluate string mathematical expressions in java script? 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. Title: The character of M-theory I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. [Slides], Shi Cheng (University of Warsaw) Katrin Wendland, Ron Donagi (University of Pennsylvania) [Slides] [Video], Conan Leung (Chinese University of Hong Kong) In the present talk we show that the string theory duals of these systems are classically integrable. 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. I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. Abstract:We discuss abelian 3d N=2 theories T[,U(1)] engineered by plumbing manifolds . What sort of strategies would a medieval military use against a fantasy giant? In this tutorial, we'll discuss various approaches to evaluate a math expression using Java. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. Simon Donaldson Postal Address:Instituto de Matemtica Pura e Aplicada David Morrison (University of California) This is damaging. Cookies and PrivacyAboutEventsNews Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction Abstract: I will describe a close analogy between the spectral geometry of hyperbolic manifolds and conformal field theory. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization David Ben-Zwi Yuji Tachikawa 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. Requiring the unitary equivalence also implies Modular Chaos Bound = Chaos Bound''. Making statements based on opinion; back them up with references or personal experience. Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] (not not) operator in JavaScript? 2. Equivalent plumbing graphs suggest dual theories. 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. Title: Approximations for Calabi-Yau and other special holonomy/structure metrics Calculate string value in javascript, not using eval, How Intuit democratizes AI development across teams through reusability. How do I replace all occurrences of a string in JavaScript? 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. . UBC, Vancouver, Canada. This is a joint work with Kwokwai Chan and Ziming Ma. People are attempting to understand things, with the tools at hand. The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. Hope you will find them as a useful starting point. Math 250 (Vector Analysis) . . Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. 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 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. 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. But it is clear that these colleagues are attempting to understand topics in QFT and Gravity, with the tools they have at hand. String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. W roku 2019 otrzymaa nagrod Fermata oraz nagrod Ruth Lyttle Satter przyznawan przez Amerykaskie Towarzystwo Matematyczne, a w roku 2020 nagrod Europejskiego Towarzystwa Matematycznego. Its explicit description as a QFT has remained elusive. Do roots of these polynomials approach the negative of the Euler-Mascheroni constant? It's december of 2021, and the java world has been rattled by a log4j vulnerability. Quantum gravity: String theory is a theory of quantum gravity because it attempts to merge quantum physics with the theory of general relativity. [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) Abstract: Open quantum systems are of experimental interest since ideally real life experiments always have some interaction with its environment. 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. where the dualisable dimensions are fibred over a `spectator base). CEIs should be thought of as a precise realization of the general idea, due to Kontsevich, that the category of open strings (plus data of the splitting) determine closed string invariants. 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. How to store objects in HTML5 localStorage/sessionStorage. Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. [Slides] [Video], Dalimil Mazac (IAS) Title: Automorphic Spectra and the Conformal Bootstrap 4. 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. Dear Peter, We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. Title: Calculating Quantum Knot Homology from Homological Mirror Symmetry However, I have provided a pure JS solution (w/o eval). The string community has been dishonest for at least 20 years, and has absolutely no right to give any lessons about ethics in science. [Slides], Mateo Galdeano (University of Oxford) 2. In our examples we find agreement with the flux modularity conjecture of Kachru, Nally, and Yang. In this talk, I will explain how to prove their conjecture for a big class of link complements by making use of the R-matrix for Verma modules. Note also that I was making no comment about the work people were presenting at the conference, was sticking to discussing particular important points about the current state of the subject being made by the two most talented and hard-w0rking leaders of the field. 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. Title: Deriving Gauge-String Duality Title: From BPS crystals to BPS algebras 2013 Nov. Osaka City University, Japan. 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. 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. The point though is that there are plenty of much simpler examples, which often can be understood purely in terms of representation theory. There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. String Math Summer School. Abstract: Trace map on deformation quantized algebra leads to the algebraic index theorem. Dec 18, 2021 at 16:43. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. 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. for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Title: The Penrose Inequality as Swampland Condition? The next String Math conference will take place on July 10-14, 2023, at the University of Melbourne in Australia. Lectures at St. Ottilien: Quantum Symmetries and K-Theory. Physical Review, 85(4), p.631. An exchange that was otherwise quite lively and interesting, you paint in the worst possible way. We engineer these models using toric geometry techniques to construct non-compact threefolds that manifestly have multiple fibrations and hence M/F-theory lifts. StringStringBuilderStringBufferMath. 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. But the time, the community (and the arXiv) takes care of these mistakes. He goes on to explain the landscape philosophy, which he sees string theorists (and himself) as now adopting. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. The LQG derivation, involving an ad-hoc choice for the Immirzi parameter This is enabledby thesurprisingappearanceof a Penner-like matrix model whose spectral curve turns out to give a Strebel differential. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison) Jackiw-Teitelboim/PeterH, 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. Infinite Analysis 13 Autumn School on Quantum Dilogarithm, Modular Double, and Representation Theory. The general picture is nicely illustrated by the Borel [Slides]. 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. Notes (with animations), Video. AP Computer Science A. 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). [Slides], Aranya Bhattacharya (IISc, Bangalore) Theres a lot of repetition of tired old arguments from decades ago, zero acknowledgement that things have not worked out as hoped. 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. Every other answer either uses ify regular expressions or use. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. How to format a number with commas as thousands separators? [Slides], Nicolo Piazzalunga (Uppsala University) Just like in the smooth case, one can ask about the multiplicities of BPS states that now carry an additional discrete charge.