2024 Gauge theory and langlands duality

Gauge theory and langlands duality

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August undefined, 2024

WebNamely, we rewrite the *relative* Langlands program as duality in the presence of boundary conditions. As a result the partial correspondence between periods and L-functions is embedded in a natural duality between Hamiltonian actions of the dual groups. ... Abstract: Since gauge theory was introduced in 1982, people working on 4- manifolds ... WebGAUGE THEORY AND LANGLANDS DUALITY by Edward FRENKEL INTRODUCTION In the late 1960s Robert Langlands launched what has become known as the Lang …

[hep-th/0604151] Electric-Magnetic Duality And The

WebApr 11, 2024 · A duality to topologically twisted four-dimensional $\mathcal{N}=4$ theory is discussed, in which the two surface defects are mapped to Dirichlet boundary and 't Hooft line defect. This is consistent with earlier works on the $\mathcal{N}=4$ theory approach to the geometric Langlands correspondence. Webthat Langlands Program is related to Montonen-Olive duality in gauge theory. Montonen-Olive duality [13] (formulated more precisely by Os-born [14]) is a conjecture that four … colored caulk for countertops

Electric-Magnetic Duality And The Geometric Langlands …

WebNov 30, 2007 · Wednesday’s session at the IAS Conference on Gauge Theory and Representation Theory was mostly devoted to talks by Witten and his collaborators about their latest work on the approach to relating geometric Langlands and QFT that he has pioneered over the last couple years. The talks were quite understandable, giving a … http://www.numdam.org/item/AST_2010__332__369_0.pdf Webshown in [6] and [5] was that the Montonen-Olive duality in the gauge theory corresponds to T-duality in the Hitchin moduli space. To be precise, it is actually T-duality together … dr shaun fletcher

The Langlands dual group and Electric-Magnetic …

Geometric Langlands duality and the equations of Nahm and …

WebJan 1, 2008 · I provide an introduction to the recent work on the Montonen–Olive duality of cN=4 super-Yang–Mills theory and the Geometric Langlands Program. Keywords. Gauge Theory; Modulus Space; Gauge Group; Wilson Loop; Vertex Operator; These keywords were added by machine and not by the authors. Web%0 Book Section %A Frenkel, Edward %T Gauge theory and Langlands duality %B Séminaire Bourbaki : volume 2008/2009 exposés 997-1011 - Avec table par noms d'auteurs de 1848/49 à 2008/09 %A Collectif %S Astérisque %Z talk:1010 %D 2010 %N 332 %I Société mathématique de France %G en %F AST_2010__332__369_0. Frenkel, … dr shaun donnelly agehttp://www.math.berkeley.edu/%7Efrenkel/BOOK/bourbaki-gauge.pdf colored caulking lowes

"WebThe four-dimensional gauge theory enjoys an S-duality symmetry acting on the coupling $\Psi $ ... independently of the gauge theory and Geometric Langlands applications. The notion of a deformable family of vertex operator algebras has been introduced in [CL15, CL14]. These are vertex operator algebras over a ring of functions, such that the ... " - Gauge theory and langlands duality

Gauge theory and langlands duality

Geometric Langlands and QFT Not Even Wrong

WebJul 29, 2024 · This conference features several mini-courses relevant to geometric Langlands. In particular, Witten will be giving a mini-course on Quantization, Gauge Theory and the Analytic Approach to Geometric Langlands that should provide a good survey of the subject as well as an introduction to his new work with Gaiotto mentioned above. WebJun 13, 2015 · The beautiful work of [1] established a rich dictionary between S-duality in fourdimensional N = 4 gauge theory and the mathematical subject of Geometric Langlands duality.

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WebApr 11, 2024 · Three-dimensional $\mathcal{N}=4$ gauge theories in omega background; 3d supersymmetric gauge theories and Hilbert series; Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras; Supersymmetric field theories and geometric Langlands: The other side of the coin; A journey from the … WebLanglands duality that is known as \quantum" geometric Langlands is related to quantum groups [5], which in turn can be used to describe the Jones polynomial and similar invariants of knots. Possibly this should have made us anticipate that the topological eld theory associated to geometric Langlands can be used to compute the Jones polynomial ...

WebEdward Frenkel's talk from the MSRI introductory workshop on "Geometric Representation Theory" that took place at MSRI, Berkeley in September 2014. The works... electro-magnetic duality, which has later become known as S-duality, has the … Subjects: Representation Theory (math.RT); Rings and Algebras … The Langlands Program was launched in the late 60s with the goal of relating …

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WebThe duality exchangesElectric monopoles(with charges in multiples of e) andMagnetic monopoles(with magnetic charges in multiples of e_= 1=e). Does this extend to a …

Webramiﬁed version of Geometric Langlands Duality; for that the reader is referred to [7]. 0.2 Electric-magnetic duality in abelian gauge theory I will begin by reviewing electric-magnetic duality in Maxwell theory, which is a theory of a U(1) gauge ﬁeld without sources. On the classical level, this theory colored caulking stripsWebA gauge theory has a coupling constant g, which plays the role of the electric charge e. The conjectural non-abelian electro-magnetic duality, which has later become known as S … dr shaun donnelly wikiWebThe work of Ng^o has been one the resounded successes of the geometric theory in the Langlands program. The lectures of Prof. Frenkel elegantly described the various contexts in which a Langlands program exists: number elds, function elds, ... 11:30 AM - 12:30 PM Simons Auditorium Edward Frenkel Gauge theory and Langlands duality 12:30 PM - 2: ... colored cement corporationhttp://www.numdam.org/item/AST_2010__332__369_0/ dr shaundelette nelson in baton rouge laWebN= 4 supersymmetric gauge theory [11]. Yet another mathematical manifestation of Langlands duality is the Quantum Geometric Langlands (QGL) duality which relates the cat-egories of twisted D-modules over moduli spaces (actually, stacks) of principal GC and LGC bundles over C. We denote these moduli spaces BunG(C) and BunLG(C). QGL is a ... colored ceiling fan light bulbsWebJul 27, 2024 · Recent advances in the Langlands program shed light on a vast area of modern mathematics from an unconventional viewpoint, including number theory, gauge theory, representation, knot theory and etc. By applying to physics, these novel perspectives endow with a unified account of the (integer/ fractional) quantum Hall effect. … colored cellophane gift wrapWebI am a theoretical physicist that used to work on resurgence, alien calculus, Higgs bundles, quantum geometry of moduli spaces, and their … colored cellophane basket bags