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Gauge theory and langlands duality

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. … WebA 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 …

Gauge Theory and Langlands Duality - ResearchGate

http://www.numdam.org/item/AST_2010__332__369_0.pdf WebKapustin and Witten demonstrated that the Geometric Langlands Program appears naturally from the study of electric-magnetic duality in supersymmetric gauge theory. More broadly, one can use electric … hbo now on desktop https://maertz.net

A NOTE ON QUANTUM GEOMETRIC LANGLANDS DUALITY, …

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. WebApr 7, 2016 · The moduli of vacua of N=2* gauge theory is known to be the Calogero-Moser (CM) integrable system. I will introduce this system, describe some features of its geometry, and explain its relation to representations of Cherednik algebras. I will discuss work in progress on geometric Langlands duality for the CM system. WebThe gauge theory ingredients required to understand this construction { such as electric-magnetic duality between Wilson and ’t Hooft line operators in four-dimensional gauge theory { are the same ones that enter in understanding via gauge theory the more familiar formulation of geometric Langlands, but now these ingredi- hbo now on directv

[1708.00419] Quantum Hall Effect and Langlands Program

Category:Khovanov Homology And Gauge Theory - University of …

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Gauge theory and langlands duality

A NOTE ON QUANTUM GEOMETRIC LANGLANDS DUALITY, …

WebN= 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 ... 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 …

Gauge theory and langlands duality

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WebApr 30, 2009 · A Note on Quantum Geometric Langlands Duality, Gauge Theory, and Quantization of the Moduli Space of Flat Connections, Preprint arXiv:0811.3264. Article. Full-text available. Dec 2008; 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, …

Weband Langlands Duality Constantin Teleman UC Berkeley Columbia University, 13 April 2012 ... Thus, they identi ed the 3-dimensional SU(2) gauge theory, got from 4D by reducing along a circle of zero radius, with the Rozansky-Witten theory ... C. Teleman (Berkeley) Gauges, mirrors and Langlands Columbia, 4.13.12 10 / 15. Mirror of a group … 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 ...

http://insti.physics.sunysb.edu/ITP/conf/simonswork3/talks/Witten.pdf http://www.numdam.org/item/AST_2010__332__369_0/

WebJan 1, 2007 · The geometric Langlands program can be described in a natural way bycompactifying on a Riemann surface C a twisted version of \\EUN = 4 super Yang-Mills theory in four dimensions. The keyingredients are electric-magnetic duality of gauge theory, mirrorsymmetry of sigma-models, branes, Wilson and ’t Hooft operators,and …

WebGeometric Langlands duality relates a representation of a simple Lie group G ∨ to the cohomology of a certain moduli space associated with the dual group G. In this … goldbergs grocery 18 ave brooklynWebApr 10, 2024 · S. Gukov and E. Witten, "Gauge Theory, Ramification, And The Geometric Langlands Program," arXiv:hep-th/0612073 [hep-th]. Electric -magnetic duality, monopole condensation, and confinement in N=2 ... goldbergs hayley orrantiahbo now on macbook airWebThe 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 ... goldbergs group atlantaWebGeometric Langlands duality relates a representation of a simple Lie group G ∨ to the cohomology of a certain moduli space associated with the dual group G. In this correspondence, a principal SL 2 subgroup of G ∨ makes an unexpected appearance. This can be explained using gauge theory, as this paper will show, with the help of the … goldberg shortshttp://www.numdam.org/item/AST_2010__332__369_0.pdf#:~:text=In%20other%20words%2C%20the%20duality%20states%20that%20the,c%3Df%20G%20U%28l%29%2C%20theLG%20n%20Cis%20also%20U%28l%29%29. goldbergs gym coachWebshown 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 … hbonow on lg smart tv