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String Math 2021, held online by IMPA, Rio de Janeiro, Rio de Janeiro, June 14 - 18, 2021. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. And how I regret it, D-branes also Thats interesting, can you give pointers? This is exactly the place where you should be using eval(), or you will have to loop through the string and generate the numbers. where the dualisable dimensions are fibred over a `spectator base). Its very good but he often leaves the reader a lot to figure out. Poor fool that I am, Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. problemu upakowania sfer w wymiarze 8, a take we wsppracy z innymi matematykami rozwizanie tego problemu w wymiarze 24. To each 3-manifold equipped with a spin^c structure, is supposed to assign a q-series with integer coefficients that is categorifiable and provides an analytic continuation of the Witten-Reshetikhin-Turaev invariants. Abstract: The sphere packing problem is a very natural geometric question and it has a long and exciting history. August 2-7, 2021: International Congress on Mathematical Physics (ICMP) 2021 (session Quantum Field Theory), Geneva, Switzerland. Organized by Mina Aganagic , Ivan Danilenko , Andrei Okounkov, and Peng Zhou. 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. David Morrison (University of California) lun, Abstract: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics. I dont think I was misrepresenting those at all. In other physical contexts you have different symmetries than Poincare, often approximate symmetries. 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. 2. Off topic, but the European congress of Mathematics has finished up. These symmetries vastly generalize the standard notion of global symmetries, and can be used in a similar way to obtain insights into strongly-coupled physical phenomena. Dr. Kessner. In this talk I will present how these two threads of research can be combined and what comes as a reward. [Slides] [Video], Dan Freed (University of Texas at Austin) 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. 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. CRM, Montreal, Canada. - rgbk21. For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. 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. 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. [Slides], Carlos Perez-Sanchez (University of Heidelberg) 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. rev2023.3.3.43278. We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. These higher-categories are constructed by equivariantizing higher-categories corresponding to invertible higher-form symmetries. Abstract: I will review the holomorphic twist of four-dimensional N=1 gauge theories and present the Feynman diagrams which control the perturbative corrections to the twistingsupercharge and to the higher operations available in the twisted theories. Is it possible to create a concave light? 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. Title: Families of Modular Flux Vacua on Symmetric CY Threefolds Probably the best answer. At the time I drop those lines, more than 50 years from dual resonance models?, I havent found any convincingly argument. They are exactly solvable in terms of Whittaker functions. Suomynona, According to this philosophy, connection to particle physics appear[s] hopeless/parochial/unimportant. I will also discuss a second application, a new definition of FJRW invariants in the presence of an arbitrary symmetry group. In this case, because the string is assumed to be safe and trusted, we would expect use of either eval() or the Function constructor to be reasonable. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. The two domain wall systems are thought to be integrable; the evidence comes mainly from the study of correlation functions at weak coupling. Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. Over-claim? [Slides]. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. Tony Pantev Is there a way to calculate a formula stored in a string in JavaScript without using eval()? Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. Title: A holomorphic approach to fivebranes Abstract: One aspect of the relation between physics and arithmetic geometry is the conjectured correspondence between supersymmetric flux vacua and weight-2 modular CY threefolds. Title: Finite symmetry in field theory Others clearly feel differently and think this is of huge significance. This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. 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. String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. I agree with Felix. Title: Smoothing, scattering and a conjecture of Fukaya [online talk] Liouville theory appeared there under the form of a 2D Feynman path integral and since then has appeared in a wide variety of contexts (random conformal geometry, SUSY Yang-Mills, etc). How can I find out which sectors are used by files on NTFS? We highlight prototype examples of elliptically fibered non-compact Calabi-Yau fewfolds and comment on the fate of these symmetries when these spaces become compact. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. [Slides] [Video], Edward Witten (IAS) 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. Title: A Yang-Mills matrix theory The video is available here , and . Title:Plumbing graphs with matter 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). Result is the same as without the 'new'. http://jsfiddle.net/vol7ron/6cdfA/. Other than that, I'd use eval in this case. 3. [Slides] [Video], Rajesh Gopakumar (ICTS, Bangalore) Hiraku Nakajima 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. One can also Higgs chiral multiplets. Summary Talk. Simon Donaldson 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. Nevertheless, from a theory claiming to be the only mathematically self-consistent unification program, something regarded as just a mere technicality now requires an answer. 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. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. Hope you will find them as a useful starting point. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] In the end, we also consider a two-qubit system to demonstrate that a different entanglement spectrum does not provide the same constraint to $hat{H}$. 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. Cookies and PrivacyAboutEventsNews 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. 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. If you are interested in what field theories Wittens probably interested in, then I certainly recommend you to follow the on going ICTSs Quantum Field Theory, Geometry and Representation Theory, with Wittens mini-course starting tomorrow: https://www.icts.res.in/program/qftgrt2021/talks, In order to get a feel what is at stake here, start with: What is a word for the arcane equivalent of a monastery? Philip Candelas 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. 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. [Slides]. 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. Equivalent plumbing graphs suggest dual theories. Leonardo Rastelli Thanks for contributing an answer to Stack Overflow! (Anyway, String Theory is mainly about Quantum Gravity). Math 302 (Vector Analysis and Integration on Manifolds) Spring 2021. I will discuss two such consequences the Penrose Inequality and constraints on the location of trapped surfaces as possible diagnostics for whether a given solution admits a consistent UV completion within AdS/CFT. 1 Let n be a natural number, n3. 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. In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. Piotr Kucharski (University of Amsterdam) Nigel Hitchin (University of Oxford) 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:. Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. 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. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. The real stuff happens in physics without a press release, book, or blog. [Slides] [Video], Davide Gaiotto (Perimeter Institute) These have been going on for over 25 years, with nothing new in a very long time. Matilde Marcolli Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. Little string theories also possess T-duality as well as higher form- and group symmetries.