string math 2021

This talk is based on joint work with Xenia de la Ossa, arXiv:2111.13221. The derivations listed in 0705.3024 seem to fall into three classes: String Theory (D-brane/String state counting, AdS/CFT, Fuzzballs) 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:. The general picture is nicely illustrated by the Borel 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. Result is the same as without the 'new'. 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. As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. 2013 Jul. 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 in my view a real mistake in the long run. What am I doing wrong here in the PlotLegends specification? Math 435 (Differential Geometry) Fall 2020. 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 CRM, Montreal, Canada. 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. [Slides]. Title: Bootstrapping AdS/BCFT Title: q-series for so(3) and osp(1|2) 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. There are other views, it is a matter of taste. Maxim Kontsevich (IHS) Their definition involves subtle boundary conditions. His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). I believe I am not misguided. 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. It will often be a good idea to analyze states in terms of these irreducible representations. Thats interesting, can you give pointers? . How to properly convert string into int to calculate in JS? Title: Holomorphic boundary conditions for topological field theories via branes in twisted supergravity 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. StringStringfinal . 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. 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. Joerg Teschner (DESY) I believe that your permanent opposing the string hypes is good and welcomed. Hello, Robert A. Wilson Leonardo Rastelli Oh, God, how hard Ive slaved away, 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. Making statements based on opinion; back them up with references or personal experience. 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). 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. Determinant operators in the chiral algebra insert Giant Graviton branes in the dual geometry. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). [Slides], Ioannis Lavdas (LMU Munich) I just work on Theoretical Physics topics. So, does anyone know about alternatives to eval()? Abstract: Trace map on deformation quantized algebra leads to the algebraic index theorem. Im no whit wiser than when I began. Title: Families of solutions of the heterotic G2 system Richard Thomas Poor fool that I am, 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. Due to its interaction, the system density matrix and operators within the system Hilbert space evolve non-unitarily. 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. a proponent of string theory but also a well-known populariser of science, . [Slides], Shi Cheng (University of Warsaw) This is joint work with Constantin Teleman and Greg Moore. Title:Landau-Ginzburg models for cominuscule homogeneous spaces Hope you will find them as a useful starting point. Title: BPSDendroscopyon local Calabi-Yau threefolds Title: Towards F-theory MSSMs Abstract: By studying M-theory on singular non-compact special holonomy spaces X we demonstrate, via a process of cutting and gluing of singularities that extend to the boundary of X, the appearance of 0-form, 1-form and 2-group symmetries in the resulting supersymmetric quantum field theory. Strings 2021 - ICTP - SAIFR If you cannot make it work with a default operator, I suggest you ask a new question, pointing out where exactly you get stuck. There will also be a gong show session of 5-minute talks by PhD students and a poster session using Zoom breakout rooms. 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. Quantum gravity: String theory is a theory of quantum gravity because it attempts to merge quantum physics with the theory of general relativity. I will discussa phenomenon similar to Frobenius of modular representation 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. 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 demonstrate the duality of quantum chaos quantities in the thermofield double state defined in a fermionic system. 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). Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. Certificates YouTube live YouTube playlist of the lectures with the exact opposite agenda. TheamplituhedronAn,k,m(Z)is the image of the positive Grassmannian Grk,n0under a positive linear mapRnRk+m. 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. Reimundo Heluani Organizing Committee. How useful this will be will depend on the symmetries you have available. This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. of topological string partition functions. Abstract: Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. TheAttractor Flow Tree conjecture postulates that the BPS index $\Omega(\gamma,z)$ for given charge $\gamma$and moduli $z$ can be reconstructed from the`attractor indices $\Omega_*(\gamma_i)$ counting BPS states of charge $\gamma_i$ in their respective attractor chamber, by summing over all possible decompositions $\gamma=\sum_i \gamma_i$ and over decorated rooted flow trees. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. We study an open quantum many body spin system to check whether its integrable and chaotic regimes can be distinguished by looking at the non-unitary dynamics of a simple operator in Krylov space. 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. @David Roberts: There are many references that discuss this from different perspectives. LHC will discover SUSY Starting from 1h14m of this meet the public vide Title: Counting BPS states with discrete charges in M-theory @DKepler Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. https://www.youtube.com/watch?v=WwmxaXTnGMI 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. Title: Categorical Enumerative Invariants 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. I will also discuss a second application, a new definition of FJRW invariants in the presence of an arbitrary symmetry group. The LQG example hardly qualifies if you do not have any way to fix the Immirzi parameter and just tune it to get the desired result. I will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. Is a PhD visitor considered as a visiting scholar? 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. Go on and you certainly will be assured thats not going to be about qubits, Dear Robert. String theorists are for the most part no longer actively pursuing connecting to particle physics of the real world. We provide significant evidence that averaging plays an important role in reproducing. From a mathematical perspective, these solutions involve interesting constructions in geometry such as integrable G2-structures and G2-instantons. 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). 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. Of course there are many ways to obtain the BH formula that do not try to identify the microscopic degrees of freedom in a theory of QG, the original calculation from the 70s being an obvious example. Title: Holographic tensor networks from hyperbolic buildings It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. [Slides], Carlos Perez-Sanchez (University of Heidelberg) Title: Non-rational $widehat{su}(2)$ cosets and Liouville field theory We introduce a new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? These boring predictions, if confirmed by DUNE, will show that also in experimental physics no real stuff is happening. Finally, I will discuss some applications. [Slides] [Video], Antoine Bourget (CEA Saclay) Our brane engineering approach combines the intersecting brane configurations of HananyWitten with recent work of Costello and Li on twisted supergravity. 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. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) Title: Homological blocks and R-matrices UBC, Vancouver, Canada. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. Is it possible to create a concave light? The program is based on two main ingredients: The complex geometry of the underlying moduli spaces on the one hand, and cluster algebra structures defined by BPS- or DT-invariants on the other hand. 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. PDF String Math 2021 - IMPA Abstract: We revisit Vafa-Witten theory in the more general setting whereby the underlying moduli space is not that of instantons, but of the full Vafa-Witten equations. Fall 2021. 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 relation originally developed from the point of view of matrix models, was later studied from the point of view of conformal field theory. 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. Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. rotations and translations are typically discretized due to the presence of a lattice)? To learn more, see our tips on writing great answers. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. Please, no more about the only string theory can compute the Black Hole entropy arguments. 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? Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. [Slides], Nicolo Piazzalunga (Uppsala University) Elliott Gesteau (California Institute of Technology) 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. 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. Estrada Dona Castorina 110, Jardim Botnico When the cohomology theory is the Morava E-theory, we obtain a new family of quantum groups labelled by a prime number and a positive integer. 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. You will have to use the Number.isNaN() method to do it. The whole tone of the discussion was pretty depressing. 11. and finally I published a package on npm string-math. Black Hole Entropy and the Problem of Universality [https://arxiv.org/abs/gr-qc/0702094]. The point though is that there are plenty of much simpler examples, which often can be understood purely in terms of representation theory. Andrew Neitzke - Yale University From the README: ERIC - EJ1326337 - From Notes to Strings, Mathematics Teacher: Learning String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. Can they make mistakes? Title: The higher dimensional tropical vertex Every other answer either uses ify regular expressions or use. 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. All major operations, constants, and methods are supported. It seems that non-stringy approaches to quantum gravity are not very successful at reproducing these universal results. String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. Exactly because of this. Find centralized, trusted content and collaborate around the technologies you use most. Calculate string value in javascript, not using eval A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. In the end, we also consider a two-qubit system to demonstrate that a different entanglement spectrum does not provide the same constraint to $hat{H}$. The talk is based on work in collaboration with Davide Gaiotto. [Slides] [Video], Conan Leung (Chinese University of Hong Kong) Abstract: Knizhnik-Zamolodchikov equation, originally found in the context of a two dimensional conformal field theory, has recently been found in the context of instanton counting, albeit with a significantly extended domain of allowed parameters (level, spins etc). This is exactly the place where you should be using eval(), or you will have to loop through the string and generate the numbers. Chrome's Content Security Policy will still throw EvalError, Creating constructor doesn't make sense here and it takes unnecessary resources. [Slides] [Video], Heeyeon Kim (Rutgers University) By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. What is the point of Thrower's Bandolier? 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. 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. 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. (iii) Most superstring calculations are performed under euclidean worldsheet for many practical reasons, as we all know and love from Wicks rotation in standard q.f.t.s. In particular, he discovered a hidden structure governed by Bernoulli numbers. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. We engineer these models using toric geometry techniques to construct non-compact threefolds that manifestly have multiple fibrations and hence M/F-theory lifts. 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. Title: Calculating Quantum Knot Homology from Homological Mirror Symmetry I suppose I shouldnt have even let that get started. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) Abstract: Gross and Siebert developed a program for understanding mirror symmetry algebro-geometrically. Title: Quantum duality and Morita theory for chiral algebras [online talk] The unitary equivalence relation implies a duality between the modular flow and time evolution. Katrin Wendland, Ron Donagi (University of Pennsylvania) Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. It's december of 2021, and the java world has been rattled by a log4j vulnerability. I saw the discussions you refer to. Yes, but I cant imagine that Witten was thinking of anything as well known and well understood as a qubit. We have a lunch on the 4th floor of Physics South before the seminar. Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction In 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. 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 - rgbk21. [Slides], Meng-Chwan Tan (National University of Singapore) IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Giovanni Felder (ETH Zrich)Lecture title: Superstring measure and the superper. 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. See a live demo on the website. [Slides] [Video], Sam Raskin (University of Texas at Austin) That looks nothing like the real world, and as Minwalla points out, no one at the Strings conference is even talking about that sort of string theory anymore. 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. The general principle is that whenever you have a group acting on a physical quantum system, the state space will be a unitary representation of that group, and unitary representations break up into irreducible representations. 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. 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. What does "use strict" do in JavaScript, and what is the reasoning behind it? 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.

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