Abstract: Gross and Siebert developed a program for understanding mirror symmetry algebro-geometrically. I watched the entire video on the Poincare group and, although the path was the same as Weinberg, there was a lot of new information I thought it was excellent. If people think carrying on this argument is a good use of their time, they are encouraged to do so elsewhere. What is the !! 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). This will be done in the language of QP manifolds/symplectic L-infinity algebroids which is convenient for showing the duality is a canonical transformation in string phase space, and also provides glimpses of a generalisation towards U-duality and higher branes. 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. Paul-Konstantin Oehlmann (Uppsala University) Zygmunt Lalak String Math Summer School. In the present talk we show that the string theory duals of these systems are classically integrable. Does a barbarian benefit from the fast movement ability while wearing medium armor? Lectures at St. Ottilien: Quantum Symmetries and K-Theory. Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. Share. 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. Just viewed the last question and answer session. AP Computer Science A 2021-22. http://jsfiddle.net/vol7ron/6cdfA/. Cookies and PrivacyAboutEventsNews Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. Title: Path integral derivations of K-theoretic Donaldson invariants Off topic, but the European congress of Mathematics has finished up. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. fiendish mathematics and mind-boggling . We hereby certify that, Alex Buchel, THE UNIVERSITY OF WESTERN ONTARIO, In the case of rank one instantons this factors through a `Heisenberg type super Lie algebra and the story is analogous to Nakajimas action on the Hilbert scheme. of topological string partition functions. We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. -) and postfix (e.g. (Anyway, String Theory is mainly about Quantum Gravity). Title: Finite symmetry in field 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. Postal Address:Instituto de Matemtica Pura e Aplicada Sheldon Katz (University of Illinois) Do roots of these polynomials approach the negative of the Euler-Mascheroni constant? 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. 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. What video game is Charlie playing in Poker Face S01E07? 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. I did watch fully the discussions I wrote about here, also took a look at many of the others. you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. In my view, this anxiety to communicate to the public the latest developments is a sign of certain immaturity. Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. Talks are available for watching every day via Youtube, links are on the main page. 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. The whole tone of the discussion was pretty depressing. The hyperKahler branches can be characterized by a combinatorial object known as a magnetic quiver. Title: On topology change in Poisson-Lie T-duality [Slides] [Video], Sam Raskin (University of Texas at Austin) Thats interesting, can you give pointers? NN-QFT Correspondence. We engineer these models using toric geometry techniques to construct non-compact threefolds that manifestly have multiple fibrations and hence M/F-theory lifts. This is a joint work with K. Ohmori (U. Tokyo). According to this philosophy, connection to particle physics appear[s] hopeless/parochial/unimportant. If you want to be added to the seminar mailing list, use this link https . But what DUNE will find has been predicted years ago: normal neutrino mass order, no additional neutrinos, no proton decay, and no physics beyond the standard model whatsoever. [Slides], Martin Bies (University of Pennsylvania) 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. While the community just spread out to other problems. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. 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. We therefore relate differential and enumerative geometry, topology and geometric representation theory in mathematics, via a maximally-supersymmetric topological quantum field theory with electric-magnetic duality in physics. 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 . 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. I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Connect and share knowledge within a single location that is structured and easy to search. There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. 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. [Slides], Pawe Ciosmak (IDEAS NCBiR) Yuji Tachikawa The latter approach allows to realize holomorphically and topologically twisted field theories directly as worldvolume theories in deformed supergravity backgrounds, and we make extensive use of this. 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: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. [Slides] [Video], Davide Gaiotto (Perimeter Institute) 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? The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. 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. [Slides] [Video], Nikita Nekrasov (Simons Center for Geometry and Physics) His second talk explains how to think of things in terms of classifying representations of the Poincare group, an old topic that unfortunately is often no longer taught (see chapter 42 of my QM textbook). (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. Nicolai Reshetikhin Our brane engineering approach combines the intersecting brane configurations of HananyWitten with recent work of Costello and Li on twisted supergravity. Participant responses to online questionnaire, Clickhereto use the Slack workspace of Strings 2021. In my talk, I will discuss the following two examples. June 14-18: Pre-Strings 2021 school (IIP, Natal), [D] Nima Arkani-Hamed (Institute for Advanced Study), [T] Horacio Casini (Centro Atmico Bariloche), [T] Lorenz Eberhardt (Institute for Advanced Study), [T] Clifford Johnson (U of Southern California), [D] Vladimir Kazakov (Ecole Normale Superieure), [T] Zohar Komargodski (Simons Center for Geom. Number Strings & Math Talk Routines for Grades 3-5. Suomynona, Boris Pioline (Universit Pierre et Marie Curie) 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. How do I connect these two faces together? Abstract: I will discuss the theory of Dirac operators perturbed by the Coulomb potential in an arbitrary dimension. Im no whit wiser than when I began. Title: Quivers for 3-manifolds lun, 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. As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. Find centralized, trusted content and collaborate around the technologies you use most. We determine the T-dual theories and match those global symmetries across the dualities. Certificates YouTube live YouTube playlist of the lectures Abstract: Quantum curves can be associated with the singular vectors in the Verma modules over the Virasoro algebra. 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. Maryna Viazovska was awarded with the Fields medal, https://www.fuw.edu.pl/faculty-of-physics-home.html, Hera guesthouse of the University of Warsaw (budget option), https://warsawgenomics.pl/en/sars-cov-2/koronawirus-rtpcr. They are exactly solvable in terms of Whittaker functions. Other than that, I'd use eval in this case. So, does anyone know about alternatives to eval()? [Slides] [Video], Vincent Vargas (University of Geneva) In the end, we also consider a two-qubit system to demonstrate that a different entanglement spectrum does not provide the same constraint to $hat{H}$. Even without LQG, there are many ideas on/in QG which are physically well founded. As an example, we compute the trace evaluated on the unit constant chiral chain and obtain the formal Witten genus in the Lie algebra cohomology. Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. How to format a number with commas as thousands separators? . I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. The real stuff happens in physics without a press release, book, or blog. Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? Title: The character of M-theory Green and Witten, recto and verso Hope you will find them as a useful starting point. 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. Dan Freed (University of Texas at Austin) 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. 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. This is joint work with Constantin Teleman and Greg Moore. Title: Geometry of Higher-Form Group Structures in String Theory The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. 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. How do I check if an array includes a value in JavaScript? 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. [Slides], Muyang Liu (Uppsala University) Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. In this talk, I will review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. Due to its interaction, the system density matrix and operators within the system Hilbert space evolve non-unitarily. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. Piotr Kucharski (University of Amsterdam) Strings 2021 started today, program is available here. String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. This gives the symmetry algebra action on the categorifiedDT. 3. 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. @DKepler 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. In particular, he discovered a hidden structure governed by Bernoulli numbers. But the time, the community (and the arXiv) takes care of these mistakes. Based on numerous works with G. Baverez, F. David, C. Guillarmou, A. Kupiainen, R. Rhodes. Likely Witten was thinking of things like the 6d (2,0) superconformal theory which has not classical limit and its construction is somewhat mysterious. On the other hand, differential cohomology theories, whose relationships with physics are classical, are most modernly understood in terms of sheaves on manifolds with values in (\infty, 1)-categories. Their definition involves subtle boundary conditions. They have obvious applications to atomic physics. Title: Category of QFTs and differential cohomology This public lecture is also a lecture in the Zapytaj fizyka series here is the lecture website. This relation originally developed from the point of view of matrix models, was later studied from the point of view of conformal field theory. These higher-categories are constructed by equivariantizing higher-categories corresponding to invertible higher-form symmetries. Title: The sphere packing problem and beyond. Are there any actual attempts in the literature to build such an intrinsically quantum theory, or is this just pie in the sky? This jargon sounds a bit confusing. Dec 18, 2021 at 16:43. We also discuss generalizations to b_2^+(X)>1. [Slides] [Video], Mayuko Yamashita (Kyoto University) The recording of the lecture can be found here. Add a comment | 21 . Result is the same as without the 'new'. 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. Title: Emergence of Time from Unitary Equivalence We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. 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. Title: The Penrose Inequality as Swampland Condition? But I went through the hard road, being told just to accept all fundamental questions I raised above as unanswered and move on to the cutting-edge problems whatever and whonever decides what these are. To summarize the situation, now as it has ever been: 1. One can also Higgs chiral multiplets. We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. This is exactly the place where you should be using eval(), or you will have to loop through the string and generate the numbers. It's december of 2021, and the java world has been rattled by a log4j vulnerability. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. Juan Maldacena Check this JSBenchmark. Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. All, 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. 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. I will then explain how to describe their representations using subcrystals and how they can be translated into the framings of the quivers. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. We propose that the matching of 5d coulomb branches plus the 2-group structure constants determined by the higher form symmetry of LSTs as criteria to predict heterotic T-dual candidates.The exploitation are generalized by picking non-trivial flat connections at the infinity to break E8 and Spin(32)/Z2 into their subgroups and confirm these T-dualities by the matching of criteria aforementioned. 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].