It's december of 2021, and the java world has been rattled by a log4j vulnerability. 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. (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. I notice that Roger Penrose, a well-know string theory skeptic, will be giving a talk on the last day of the conference next week. 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. Of course, I do not justify equally wrong comments from certain string theorists Philip Candelas Summary Talk. Wittens answer is that this was just a vague hope, that the duality ideas are now 25 years old, we havent progressed beyond them, need something new. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. 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. TheamplituhedronAn,k,m(Z)is the image of the positive Grassmannian Grk,n0under a positive linear mapRnRk+m. Title: Dirac-Coulomb Hamiltonians[online talk] Title: The character of M-theory Really amazing work! Its explicit description as a QFT has remained elusive. Java-StringStringBuilderStringBufferMath 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. 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. 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. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. Marlborough School. 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. The hyperKahler branches can be characterized by a combinatorial object known as a magnetic quiver. Infinite Analysis 13 Autumn School on Quantum Dilogarithm, Modular Double, and Representation Theory. These models share the general structure of the so-called canonical LG-models; constructed by Marsh, Pech, Rietsch and Williams for Grassmannians, Lagrangian Grassmannians and quadrics, and we will discuss our ongoing efforts in unifying the models into a type-independent canonical model. Zygmunt Lalak https://www.youtube.com/watch?v=WwmxaXTnGMI Finally, I will discuss some applications. Strings 2021 is an annual conference that brings together the entire string theory community. Title: Finite symmetry in field theory String Math 2021 - Alba Grassi (CERN) - YouTube you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. Strings 2021 - ICTP - SAIFR 11. 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. 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. 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. 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: Towards F-theory MSSMs String theorist: indeed, whats QCD?. Our brane engineering approach combines the intersecting brane configurations of HananyWitten with recent work of Costello and Li on twisted supergravity. One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. Title: Non-Invertible Symmetries and Higher-Categories Workshop on Algebraic Geometry and Machine Learning, Tsinghua Sanya International Mathematics Forum, January 2021. Title:Plumbing graphs with matter The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. Thank you. Organized by Mina Aganagic , Ivan Danilenko , Andrei Okounkov, and Peng Zhou. Mina Aganagic People are attempting to understand things, with the tools at hand. Workshop on Categorification and geometric representation theory. How to format a number with commas as thousands separators? 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. String theorist Michio Kaku: 'Reaching out to aliens is a terrible idea Strings 2021 Summary Talk, So Paulo (June 21 - July 2, 2021) [on-line] . Can I tell police to wait and call a lawyer when served with a search warrant? The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. Abstract: We will present type-independent Laurent polynomial LG-models for the (small) quantum cohomology of cominuscule spaces [Spacek21] as well as Plcker coordinate LG-models for the exceptional family [Spacek-Wang22]. 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. 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. This is enabledby thesurprisingappearanceof a Penner-like matrix model whose spectral curve turns out to give a Strebel differential. I will present a general overview of the theory of CEIs, and discuss how it provides a conjectural approach to understanding enumerative mirror symmetry for the quintic threefold, in arbitrary genus. 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. commutative) spacetime case is well-known to yield the Yang-Mills(-Higgs) theory, namely almost-commutative manifolds, has to be replaced by its fuzzy counterpart already the classical level. What does "use strict" do in JavaScript, and what is the reasoning behind it? Result is the same as without the 'new'. What video game is Charlie playing in Poker Face S01E07? These have been going on for over 25 years, with nothing new in a very long time. Robert A. Wilson, [Slides] [Video], Lauren Williams (Harvard University) 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. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1, algebra 2, precalculus, and AP calculus classes. Katrin Wendland, Ron Donagi (University of Pennsylvania) [Slides] [Video], Fabian Ruehle (Northeastern University) I will describe how to bootstrap these perturbative corrections without computing actual Feynman integralsand present some preliminary results for pure N=1 gauge theory. We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. I am not a fan of string theory. LHC will discover SUSY We will speak about the history of Keplers conjecture. and Physics), [G]Suman Kundu (Tata Inst. The recording of the lecture can be found here. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. [Slides] [Video], Andrei Caldararu (University of Wisconsin Madison) 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. Juan Maldacena from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). Ivan Ip's Homepage - Hong Kong University of Science and Technology Chen-Te Ma (Asia Pacific Center for Theoretical Physics) Based on 2103.10271, 2111.07663 and upcoming work. 8. Mark Gross This community is indeed becoming like a religious cult, something one of the speakers explicitly denied. 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. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. Of course, these are people. W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. 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. In my talk, I will discuss the following two examples. for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Abstract: The main goal of this talk is to present a novel conjectural incarnation of Langlands duality in the purely topological setting of character varieties of 3-manifolds and their quantizations via skein theory. [Slides] [Video], Conan Leung (Chinese University of Hong Kong) 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. String Math 2021 - Denis Auroux (Harvard University) - YouTube This story also relates to the higher-form global symmetry. 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 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. How can I guarantee that my enums definition doesn't change in JavaScript? This provides an enumerative interpretation of the A-model topological string partition function on non-commutative resolutions of the singular Calabi-Yaus. [Slides] [Video], Edward Witten (IAS) 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. Jednym z najwaniejszych osigni Maryny Viazovskiej jest rozwizanie tzw. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. Reimundo Heluani's Homepage - IMPA This gives the symmetry algebra action on the categorifiedDT. StringStringfinal . Title: Cohomological-type Hall algebras and their representation theory But this procedure you adopted in this post, is not the best way of understanding science, or communicating it. Adrian Langer The general picture is nicely illustrated by the Borel The problem with the string theory hype is not that its new, exciting, cutting-edge speculation, rather than well-established. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. Ironically, the very fact that he had to refer to it at all should alarm them. This lecture is aimed for the general public and does not request much prerequisites in mathematics. that perturbation series following from superstring S-matrix, already known to diverge as one sums over all moduli parameters (which isnt really the issue, since this happens even in QED, see Dyson, F.J., 1952. Title: Categorical Enumerative Invariants The proof in these cases uses the notion of 1-form symmetries (= co-dimension 2 topological defects) to express PGL(N)-skein modules as certain twisted SL(N)-skein-modules, and then to further relate these to well-known formulas for the cohomology of twisted character varietiesof surfaces. Once again, this is just an opinion. 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. Zhengping Gui (International Centre for Theoretical Physics) ERIC - EJ1326337 - From Notes to Strings, Mathematics Teacher: Learning Depending on the coupling constant and dimension, they exhibit several distinct scaling behaviors (or if you prefer the high energy jargon, various renormalization group flows). To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The spin-bundle required to defined fermion content from SUSY multiplet depends on the metric signature. Notes (with animations), Video. 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). 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. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. Title: The Penrose Inequality as Swampland Condition? We hereby certify that, Alex Buchel, THE UNIVERSITY OF WESTERN ONTARIO, We present a novel construction of such flux vacua in permutation-symmetric multiparameter compactifications, and develop methods for efficiently computing the zeta functions of the corresponding geometries. 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. How do I connect these two faces together? Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. Theres a lot of repetition of tired old arguments from decades ago, zero acknowledgement that things have not worked out as hoped. Strings 2022 Summary Talk. [Slides] [Video], Davide Gaiotto (Perimeter Institute) 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. Calculate string value in javascript, not using eval He mentions that one basic problem with this is that there is no understanding of what happens in time-dependent backgrounds, so, in particular, this is useless for addressing the big bang, which is the one place people now point to as a possible connection to real world data. How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)? In the present talk we show that the string theory duals of these systems are classically integrable. Title: Families of solutions of the heterotic G2 system PDF Si Li - GitHub Pages The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. Abstract: Since 2017, knots and symmetric quivers are known to be intimately related via BPS spectra. [Slides], Sachin Chauhan (Indian Institute of Technology, Bombay) Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds Just viewed the last question and answer session. Studiowaa na uniwersytecie im. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization The String Math series of conferences have become an important event for 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. 2. 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. Others clearly feel differently and think this is of huge significance. 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. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Simon Donaldson (Imperial College)Lecture title: Calibrated geometry and gauge . Thats interesting, can you give pointers? Dear Peter, Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. I hadn't known about this until your post. There are slight differences regarding scoping, but they mostly behave the same, including exposure to much of the same security risks: You can't, at most you could do something retort like parsing the numbers and then separating the operations with a switch, and making them. 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. The only message I hear repeatedly is that String theory is the only game in town. In response to the obvious question about relation to experiment and testability, people have clearly completely given up on this, with nothing to say (other than a bogus claim that string theory makes some prediction about B-mode polarization), going on about how it took thousands of years for the atomic hypothesis to be vindicated. In this talk, I explain an ongoing work to combine them, and to give a higher relations between QFTs and differential cohomology. String Math 2021 - Si Li (Tsinghua University) - YouTube It would differ in rare case, if this function evil() itself declared some variables which would want to be. 5. Title: Magnetic quivers for Superconformal Field Theories In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}.
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