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Unit 3 - String, Math | APCS Physical Review, 85(4), p.631. 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. It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. Everything is in the description. In my case, I will give a run, certainly much more healthy, no? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Exactly because of this. 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. 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. Of course, I do not justify equally wrong comments from certain string theorists W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. Green and Witten, recto and verso 4. My talk will be based on recent joint work with Baej Ruba. We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. You will have to use the Number.isNaN() method to do it. 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. rotations and translations are typically discretized due to the presence of a lattice)? Title: Quivers for 3-manifolds We prove a reformulation of the main conjecture in Fukayas second correspondence, where multi-valued Morse theory on the base B is replaced by tropical geometry on the Legendre dual B. 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. String Math 2021 - Mina Aganagic (UC Berkeley) Instituto de Matemtica Pura e Aplicada 115K subscribers Subscribe Share 926 views 1 year ago IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned. Joerg Teschner (DESY) 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. 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. I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. 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. 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. This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. A limit involving the quotient of two sums. Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. Nigel Hitchin (University of Oxford) Strings 2021 started today, program is available here. 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. 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). Thanks for contributing an answer to Stack Overflow! I suppose I shouldnt have even let that get started. [Slides], Mateo Galdeano (University of Oxford) StringBufferStringBuilder 1. The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. 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. General string perturbation theory using 2d conformal field theory. From the README: 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]. Divergence of perturbation theory in quantum electrodynamics. Of course, these are people. 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. The only message I hear repeatedly is that String theory is the only game in town. [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison)
Reimundo Heluani's Homepage - IMPA Tony Pantev 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. How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)?
Strings 2021 - ICTP - SAIFR Title: Homological blocks and R-matrices Off topic, but the European congress of Mathematics has finished up. Katrin Wendland, Ron Donagi (University of Pennsylvania) 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. Rafa R. Suszek, Louis Alvarez-Gaume Davide Gaiotto Likely Witten was thinking of things like the 6d (2,0) superconformal theory which has not classical limit and its construction is somewhat mysterious. [Slides] [Video], David Jordan (University of Edinburgh) The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. Whats remarkable is how powerful Poincare space-time symmetry is as a determinant of how elementary particles behave. where the dualisable dimensions are fibred over a `spectator base). 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. Why are trials on "Law & Order" in the New York Supreme Court? Really amazing work! 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). Odbya stae podoktorskie na uniwersytecie Humboldta w Berlinie oraz uniwersytecie w Princeton w USA, a nastpnie zostaa profesorem w cole Polytechnique Fdrale de Lausanne (EPFL) w Szwajcarii, gdzie od 2018 roku kieruje Katedr Teorii Liczb. Brittany Goerig | Oct 14, 2020 | 00:56:54. 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. 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. Title: Automorphic Spectra and the Conformal Bootstrap A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. Based on 2103.10271, 2111.07663 and upcoming work. They are exactly solvable in terms of Whittaker functions. Title: Integrability check for open quantum systems in Krylov Space The video is available here , and . Nothing will be said about multiverses or swampland on what follows. Of course, I do not justify equally wrong comments from certain string theorists 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. Suomynona, We also provide the action of braiding on the relevant branes, so we can calculate Khovanov homology for any knot given its braid representation. Its very good but he often leaves the reader a lot to figure out. For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. 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. The operators satisfy an operator product expansion. 3. . Knots and Natural Language. [Slides] [Video], Davide Gaiotto (Perimeter Institute) 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. Adrian,
Strings 2021 | Not Even Wrong - Columbia University , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, I believe that your permanent opposing the string hypes is good and welcomed. [Slides], Thorsten Schimannek (LPTHE Paris) 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. We will speak about the history of Keplers conjecture. 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.
String Math 2021 - Si Li (Tsinghua University) - YouTube He notes that to get at non-perturbative string theory we seem to need some more general understanding of quantum theories, going beyond the usual quantization starting with an action, and ends by saying maybe quantum information theory can help.
Home page of Greg Moore - Rutgers University Boris Pioline (Universit Pierre et Marie Curie)
Research | Hirosi Ooguri 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. 5. Edward Witten (Institute for Advanced Study) Title: A Yang-Mills matrix theory We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. [Slides], Peter Spacek (TU Chemnitz) We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$.
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. 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: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics.
Andrew Neitzke - Yale University Our conjecture, which we have developed with Ben-Zvi, Gunningham and Safronov, asserts an equality of dimensions between the G- and G^L-skein modules of a 3-manifold at generic quantization parameter. Abstract: We implement the unitary equivalence of modular Hamiltonian $hat{H}_{mathrm{mod}}$ and Hamiltonian $hat{H}$,$hat{H}simhat{U}^{dagger}hat{H}_{mathrm{mod}}hat{U}$, to realize the emergence of time from an unitary operator $hat{U}$. [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS)
String Math 2021 - Giovanni Felder (ETH Zrich) - YouTube crickets]. LQG calculations claim to reproduce the semi-classical limit. Number Strings & Math Talk Routines for Grades 3-5. [Slides], Nicolo Piazzalunga (Uppsala University) Cookies and PrivacyAboutEventsNews CEIs are associated to an arbitrary Calabi-Yau category, together with a splitting of the Hodge filtration. [Slides], Meng-Chwan Tan (National University of Singapore) Determinant operators in the chiral algebra insert Giant Graviton branes in the dual geometry. These higher-categories are constructed by equivariantizing higher-categories corresponding to invertible higher-form symmetries. Thats about the general problem of quantizing a symplectic manifold, but my impression was that Witten was thinking of the even more general problem of a quantum theory with no known symplectic manifold of which it is the quantization. W roku 2019 otrzymaa nagrod Fermata oraz nagrod Ruth Lyttle Satter przyznawan przez Amerykaskie Towarzystwo Matematyczne, a w roku 2020 nagrod Europejskiego Towarzystwa Matematycznego. 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? Thanks for allowing my last comment. Title: The character of M-theory The only game in town in fundamental physics now is to give up on a theory of the real world. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. Enjoy, This solution also clips whitespaces and checks for duplicating operators, e.g. ' From this description, we propose a symmetry for the space of instantons on C^2 by an exceptional super Lie algebra called E(3|6). Workshop on Categorification and geometric representation theory. [Slides] [Video], Pierrick Bousseau (ETH Zrich) The LQG derivation, involving an ad-hoc choice for the Immirzi parameter
Webinars - hand2mind Albrecht Klemm This is based on joint work with Raghavendran. Is there a way to calculate a formula stored in a string in JavaScript without using eval()? Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. (videos of the talks at the bottom). Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. I will present recent progress in this direction in the simplest case of local $P^2$, and argue that its global BPS spectrum and flow tree structure can be deduced from a scattering diagram with simple initial data. 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). Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. AP Computer Science A 2021-22. Abstract: Three-dimensional N =4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. Mark Gross for Fundamental Research), [T] Sebastian Mizera (Institute for Advanced Study), [T] Sameer Murthy (Kings College London), [S] Hirosi Ooguri (Caltech and Kavli IPMU), [D] Joo Penedones (cole Polytech. Other than that, I'd use eval in this case. Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. People are attempting to understand things, with the tools at hand. The video answered some questions that I still had (e.g. StringStringBuilderStringBufferMath. The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. Just viewed the last question and answer session. Title: Towards F-theory MSSMs Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. It will often be a good idea to analyze states in terms of these irreducible representations. 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). What is a word for the arcane equivalent of a monastery? 8. [Slides]. Is a PhD visitor considered as a visiting scholar? Title: q-series for so(3) and osp(1|2) In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. Matilde Marcolli 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. Simon Donaldson Their definition involves subtle boundary conditions. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds One can also Higgs chiral multiplets. @DKepler (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. The simplest example is the qubit. On the utility of the equation 2+4=6 in supersymmetric quantum field theory. [Slides], Shi Cheng (University of Warsaw) Dr. Kessner. Exactly because of this. Only if the string comes from a trusted source. What video game is Charlie playing in Poker Face S01E07? Symmetries, Horizons, and Black Hole Entropy [https://arxiv.org/abs/0705.3024] 1 Let n be a natural number, n3. [Slides]. 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.
String Math 2021 | IMPA - Instituto de Matemtica Pura e Aplicada it is true that experiments are real physics. Title: Giant Gravitons in Twisted Holography Title:Plumbing graphs with matter 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. Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence.
PDF String Math 2021 - IMPA 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. I saw the discussions you refer to. We will focus on understanding 3d mirror symmetry viachiralalgebras. fiendish mathematics and mind-boggling . [Slides] [Video], Netta Engelhardt (MIT) 2. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. @David Roberts: There are many references that discuss this from different perspectives. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. 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. Java basics Unit 2 - Functions and Testing Unit 3 - String & Math Unit 4 - Loops & Algorithms Unit 5 - Classes and objects Unit 6 - Processing libraries Unit 7 - Arrays Unit 8 .
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