Edward Witten (Institute for Advanced Study) The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. (i) No one convincingly proved the mathematical equivalence between the RNS superstrings and GS formalism. https://arxiv.org/pdf/0809.0305.pdf, Already at p.1 one reads, The Problem: According to textbooks, the passage from classical mechanics to quantum mechanics is made by replacing Poisson brackets with commutators. 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. Non-QG QFT derivations that are not attempting to identify the microstates. 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). Thats interesting, can you give pointers? This talk is based on joint work with Si Li. String Math 2021 - Alba Grassi (CERN) - YouTube Certain reformulations and consequences of cosmic censorship, however, may be true in asymptotically AdS solutions that admit a consistent holographic dual. [Slides] [Video], Nikita Nekrasov (Simons Center for Geometry and Physics) 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. Our brane engineering approach combines the intersecting brane configurations of HananyWitten with recent work of Costello and Li on twisted supergravity. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) Ill explain this phenomenon, and propose a new effective algorithm for the calculation of the spectrum which is not based on quantum algebra at all (joint work in progress with A. Soibelman). Braces are not supported, am I right? (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) 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. The general picture is nicely illustrated by the Borel As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. [Slides] [Video], Pierrick Bousseau (ETH Zrich) Title: Bootstrapping AdS/BCFT We determine the T-dual theories and match those global symmetries across the dualities. NN-QFT Correspondence. Maxim Kontsevich (IHS) In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. Our starting point will be the observation that a rich source of discrete gauge symmetries in M-theory are Calabi-Yau threefolds with singularities that cannot be crepantly resolved. The problem is not that its too new to be evaluated properly, but that its been a failure. You are possibly right its now pointless to debate those issues. Probably not if you ask me. But in my view a real mistake in the long run. Suomynona, 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. 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. I agree with Felix. Their scaling dimensions are related to the Laplacian eigenvalues on the manifold. String Data 2020, CERN, December 2020. 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. This gives the symmetry algebra action on the categorifiedDT. It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. 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. You, sir, are awesome. [Slides] [Video], Sam Raskin (University of Texas at Austin) 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. Adrian Langer String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Richard Thomas 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. where the dualisable dimensions are fibred over a `spectator base). This is joint work with Constantin Teleman and Greg Moore. 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? Abstract: We explore little string theories in six dimensions, constructed via F-theory that are dual to heterotic stringswith NS5 branes probing ADE type singularities. For a so called well defined mathematical theory, cannot be tweaked etc, the number of unsolved issues with it and the claim not understanding what string theory is is inconsistent. Physically, flow treesprovide a mesoscopic representation of BPS states as nested multi-centered bound states of elementary constituents. Berkeley Informal String-Math Seminar. 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. In my view, this anxiety to communicate to the public the latest developments is a sign of certain immaturity. CEIs are associated to an arbitrary Calabi-Yau category, together with a splitting of the Hodge filtration. Joerg Teschner (DESY) 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]. It also gives one a feeling for how Arkani-Hamed works through problems. As has been the case for many years, it doesnt look like there will be anything significantly new on the age-old problems of getting fundamental physics out of a string theory. 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. Webinars - hand2mind They are exactly solvable in terms of Whittaker functions. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. 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. Once again, this is just an opinion. 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. Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. I hadn't known about this until your post. String theorist: indeed, whats QCD?. Hirosi Ooguri (Caltech & IPMU) 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. [Slides] [Video], Fabian Ruehle (Northeastern University) Abstract: I will be discussing my recent work [2110.08179] with Chris Blair and Dan Thompson on topology change in Poisson-Lie T-duality with spectators (i.e. I will discussa phenomenon similar to Frobenius of modular representation theory. Miosz Panfil [Slides], Carlos Perez-Sanchez (University of Heidelberg) 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. F-theory vacua with exactly one Higgs field and no vector-like exotics. Is it possible to create a concave light? 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. How can I find out which sectors are used by files on NTFS? PDF Si Li - GitHub Pages . The two domain wall systems are thought to be integrable; the evidence comes mainly from the study of correlation functions at weak coupling. Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. Title: Elliptic trace map on chiral algebras On the utility of the equation 2+4=6 in supersymmetric quantum field theory. 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. [Slides]. and finally I published a package on npm string-math. There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. Postal Address:Instituto de Matemtica Pura e Aplicada 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. 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. So, does anyone know about alternatives to eval()? To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. 2013 Nov. Osaka City University, Japan. To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. Can they make mistakes? But it is clear that these colleagues are attempting to understand topics in QFT and Gravity, with the tools they have at hand. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. AP Computer Science A. Title: Heterotic little strings, T-duality and 2-group symmetries The only message I hear repeatedly is that String theory is the only game in town. 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. 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. I will also touch upon the issue of the Lorentzian vs Euclidean metric slice in the path integral contour of quantum gravity. StringStringfinal . This talk is based on joint work with Xenia de la Ossa, arXiv:2111.13221. See a live demo on the website. Abstract: Quantum curves can be associated with the singular vectors in the Verma modules over the Virasoro algebra. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. 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. 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 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. Divergence of perturbation theory in quantum electrodynamics. 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. 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. Do I need a thermal expansion tank if I already have a pressure tank? Cookies and PrivacyAboutEventsNews What am I doing wrong here in the PlotLegends specification? 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. Knots and Natural Language. Strings 2022 Summary Talk. From the README: All, I would be eager to read a real formal discussion if first-quantised RNS superstring in euclidean signature is quantum mechanically equivalent (unitary Boguliubov transformation) to original version starting from Minkowski signature. 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. ERIC - EJ1326337 - From Notes to Strings, Mathematics Teacher: Learning [Slides] [Video], Yaping Yang (University of Melbourne) Certificates YouTube live YouTube playlist of the lectures 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. We physically derive (i) a novel Vafa-Witten four-manifold invariant associated with this moduli space, (ii) their relation to Gromov-Witten invariants, (iii) a novel Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and generalization of a conjecture by Abouzaid-Manolescu about the hypercohomology of a perverse sheaf of vanishing cycles, (vi) a Langlands duality of these invariants, Floer homologies and hypercohomology, and (vii) a quantum geometric Langlands correspondence with purely imaginary parameter that specializes to the classical correspondence in the zero-coupling limit, where Higgs bundles feature in (ii), (iv), (vi) and (vii). Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. Abstract: The sphere packing problem is a very natural geometric question and it has a long and exciting history. But this procedure you adopted in this post, is not the best way of understanding science, or communicating it. We demonstrate the duality of quantum chaos quantities in the thermofield double state defined in a fermionic system. I believe that your permanent opposing the string hypes is good and welcomed. How do I check if an array includes a value in JavaScript? In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. Any other way wouldn't be as efficient. These operators are interesting for several reasons:
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