Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. It will often be a good idea to analyze states in terms of these irreducible representations. Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. The key steps in this equivalence is a probabilistic derivation of the DOZZ formula for the structure constants, the spectral analysis of the Hamiltonian of the theory and the proof that the probabilistic construction satisfies certain natural geometrical gluing rules called Segals axioms. 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. Not the answer you're looking for? . !) of Science), [T] Ying Zhao (Institute for Advanced Study), Luis Alday, Luis Alvarez-Gaume, Kostas Bachas, Micha Berkooz, Nathan Berkovits, Ruth Britto, Horacio Casini, Alejandra Castro, Mirjam Cvetic, Atish Dabholkar, Jan de Boer, Robbert Dijkgraaf, Johana Erdmenger, Mboyo Esole, Jim Gates, 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, Igor Klebanov, 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, A convenient link with all talks at previous Strings meetings is hosted by Yuji Tachikawa at, https://member.ipmu.jp/yuji.tachikawa/stringsmirrors/, All sessions were recorded and are available at the Youtube daily links below or by clicking on the lecture in the, Strings 2021 will be held online during the two-week period. Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? 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. Please, no more about the only string theory can compute the Black Hole entropy arguments. Talks are available for watching every day via Youtube, links are on the main page. But it is clear that these colleagues are attempting to understand topics in QFT and Gravity, with the tools they have at hand. 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. [Slides]. Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Strings 2021 started today, program is available here. 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. 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. Theres a lot of repetition of tired old arguments from decades ago, zero acknowledgement that things have not worked out as hoped. I just work on Theoretical Physics topics. 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). Possible applications include computing massive string excitations, volumes of non-calibrated cycles, the SYZ conjecture, and approximating solutions to the Hermitian Yang-Mills equations. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. Its very good but he often leaves the reader a lot to figure out. ncdu: What's going on with this second size column? 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. What is the point of Thrower's Bandolier? 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. Making statements based on opinion; back them up with references or personal experience. [Slides]. This construction gives rise to new quantum groups. 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. [Slides], Carlos Perez-Sanchez (University of Heidelberg) how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). [Slides] [Video], Pierrick Bousseau (ETH Zrich) Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. Another talk of Penrose (and a conference in his honour): This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. But the time, the community (and the arXiv) takes care of these mistakes. Simon Donaldson The problem is not that its too new to be evaluated properly, but that its been a failure. 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. 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. Not all N = (0, 4) boundary conditions admit such deformations. Divergence of perturbation theory in quantum electrodynamics. Infinite Analysis 13 Autumn School on Quantum Dilogarithm, Modular Double, and Representation Theory. His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). Poor fool that I am, We have a lunch on the 4th floor of Physics South before the seminar. The qubit example is a bit unfair since in some sense its the quantization of the sphere, although this sphere is not a classical limit of the quantum theory (and sphere isnt a cotangent bundle of some configuration space). More information can be found here Thematic trimester on vertex algebras: What I wanted with my post was to point out that (in my view, again), you were selecting particular phrases that sounded negative, in what other wise were quite interesting exchanges among physicists. 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. We introduce a. new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? Title: Giant Gravitons in Twisted Holography We demonstrate the duality of quantum chaos quantities in the thermofield double state defined in a fermionic system. Based on joint work with Petr Kravchuk and Sridip Pal. In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. 3. Add a comment | 21 . Abstract: The interpretation of semiclassical gravity as an average of CFTs has provided much progress in understanding the factorization problem and the information paradox. 4. 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. Sat 3 Apr 2021 12.00 EDT Last modified on Tue 6 Apr 2021 09.54 EDT. 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). Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. Properties of the construction are explained both purely in the context of holomorphic field theory and also by engineering the holomorphic theory on the worldvolume of a D-brane. 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. 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. Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. I will then outline work in progress with Gunningham and Safronov to prove the conjecture in a number of special cases. 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. 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. Abstract: The sphere packing problem is a very natural geometric question and it has a long and exciting history. String theorists are for the most part no longer actively pursuing connecting to particle physics of the real world. It seems that non-stringy approaches to quantum gravity are not very successful at reproducing these universal results. The LQG derivation, involving an ad-hoc choice for the Immirzi parameter 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]. Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. 2014 June. 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. Reimundo Heluani Organizing Committee. String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. [Slides] [Video], David Jordan (University of Edinburgh) We will focus on understanding 3d mirror symmetry viachiralalgebras. The resulting quiver Yangians, together with their trigonometric and elliptic versions, unify various known results and generalize them to a much larger class. 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. The original sphere packing problem in dimension 3 is known as Keplers conjecture and it was famously solved by Thomas Hales at the very end of the twentieth century. The choice of flat connection at infinity for E8 or Spin(32)/Z2 respectively captures the feature of the 6D conformal matter theory built on F-theory geometry. Nothing will be said about multiverses or swampland on what follows. A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. 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. I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. 5. Others clearly feel differently and think this is of huge significance. 1 Let n be a natural number, n3. 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 check whether a string contains a substring in JavaScript? [Slides] [Video], Sunghyuk Park (California Institute of Technology) In a different direction, I will in this talk present a conjectural picture relating holomorphic Floer theory of complex integrable systems to Donaldson-Thomas invariants. Abstract: In this talk I will introduce a refined notion of Gopakumar-Vafa invariants on singular Calabi-Yau threefolds that generate a discrete gauge symmetry in M-theory. [Slides] [Video], Mayuko Yamashita (Kyoto University) Starting from 1h14m of this meet the public vide In other physical contexts you have different symmetries than Poincare, often approximate symmetries. The EMS prizes are always a good indication of future Fields medalists Equivalent plumbing graphs suggest dual theories. Strings 2021 started today, program is available here. I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. [Slides], Pawe Ciosmak (IDEAS NCBiR) I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. 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). Breaking news: on July 5, 2022, Maryna Viazovska was awarded with the Fields medal, the highest recognition in mathematics! crickets]. In my case, I will give a run, certainly much more healthy, no? Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . (not not) operator in JavaScript? 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. Czy wyraasz na to zgod? This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. Marlborough School. from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). Hope you will find them as a useful starting point. [Slides], Nicolo Piazzalunga (Uppsala University) So I wrote that list as both an act of rebellion nevertheless also of relive: I dont think one needs to wait for Plancks law to clean up our field through funerals in this century anymore & heres the right point for me to close: Its time for new ideas and we are going to find them. [Slides]. The String Math series of conferences have become an important eventfor anyone working at the interface between mathematics and theoretical physics (string theory, quantum field theory and adjacent topics), bringing together an interdisciplinary cohort of pure mathematicians and theoretical physicists. https://8ecm.si/prizes, Ashoke Sen has computed the logarithmic corrections to the Bekenstein-Hawking entropy of various standard black hole solutions in this paper. Title: Topological Langlands duality and 1-form symmetries Title: Categorical Enumerative Invariants How to transform string into integers and operators in Javascript? I will also discuss a second application, a new definition of FJRW invariants in the presence of an arbitrary symmetry group. [Slides], Aranya Bhattacharya (IISc, Bangalore) Really amazing work! Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). Piotr Sukowski (chair) In my talk, I will discuss the following two examples. Title: Heterotic little strings, T-duality and 2-group symmetries a proponent of string theory but also a well-known populariser of science, . [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. Math 302 (Vector Analysis and Integration on Manifolds) Spring 2021. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. 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. (videos of the talks at the bottom). Pyry Kuusela (University of Oxford) 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. To learn more, see our tips on writing great answers. Abstract: I will explain how to explicitly calculate knot homology using the Fukaya category associated to a 2d Landau-Ginsburg theory, which is the equivariant mirror of the Coulomb branch of a 3d $mathcal{N}=4$ theory. Its explicit description as a QFT has remained elusive. 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. I will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. How do I connect these two faces together? 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. The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. 1+ 2 *2' // 5 but ' 1 + +2* 2 ' // Error, This shows to be more performant than @vol7ron's solution. Title: The Penrose Inequality as Swampland Condition? Non-QG QFT derivations that are not attempting to identify the microstates. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction What sort of strategies would a medieval military use against a fantasy giant? If one neglects the mass term, they are formally homogeneous. Title: Counting BPS states with discrete charges in M-theory Title: Spectrum in quantum mechanics and deformed periods [online talk] Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. But this is just an opinion. Title: Automorphic Spectra and the Conformal Bootstrap [Slides] [Video], Rajesh Gopakumar (ICTS, Bangalore) 2. Philip Candelas This jargon sounds a bit confusing. I think a better service to the public would be made by discussing things that are well established, rather that the permanent focus on what is coming/the future etc.

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