Gauge theory and langlands duality

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August undefined, 2024

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. Webmostly focus on electric-magnetic duality, which is a particular element ofSL(2,Z). It is also known as S-duality. Note that forθ = 0 S-duality exchanges weak coupling (e2 & 1) and …

[1708.00419] Quantum Hall Effect and Langlands Program

WebApr 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 ... 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 cute shorts front and back

A NOTE ON QUANTUM GEOMETRIC LANGLANDS DUALITY, …

WebI am a theoretical physicist that used to work on resurgence, alien calculus, Higgs bundles, quantum geometry of moduli spaces, and their … WebWe consider only the simplest examples, in which many technical questions can be avoided. AB - The geometric Langlands correspondence was described some years ago in terms … 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 … cute short skirts

Electric-magnetic duality and the geometric langlands program

Geometric Langlands Program and Dualities in Quantum Physics

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 … WebELECTRO-MAGNETIC DUALITY AND GEOMETRIC LANGLANDS DUALITY WITTEN-KAPUSTIN MANU CHAO Contents 1. Witten-Kapustin approach to Geometric Langlands (\GL") conjecture 2 ... 1.3. Construction of relevant Quantum Field Theories via Gauge Theory 7 1.4. Appendix. 10d super Young-Mills as an \octonic theory" 15 1.5. … cute short short haircutsWebAbstract. We review the approach to the geometric Langlands program for algebraic curves via S-duality of an N = 4 supersymmetric four-dimensional gauge theory, initiated by Kapustin and Witten in 2006. We sketch some of the central further developments. cheap brakes near me

"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 … " - Gauge theory and langlands duality

Gauge theory and langlands duality

[1708.00419] Quantum Hall Effect and Langlands Program

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. http://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.

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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 ... 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 …

Webequivalent to the gauge theory with the Langlands dual gauge group LG c and coupling constant 1=g(note that if G c= U(1), then LG cis also U(1)). If true, this duality would have tremendous consequences for quantum gauge theory, because it would relate a theory at small values of the coupling constant (weak coupling) to a theory with large 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 …

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;

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.

Webequivalent to the gauge theory with the Langlands dual gauge group LG c and coupling constant 1=g(note that if G c= U(1), then LG cis also U(1)). If true, this duality would … cheap brake service san diegoWebJun 15, 2009 · Gauge Theory and Langlands Duality Asterisque- Societe Mathematique de France arXiv Authors: Edward Frenkel Request full-text Abstract The Langlands … cute short shaggy hairstyleshttp://www.math.berkeley.edu/%7Efrenkel/BOOK/bourbaki-gauge.pdf cheap brake shop near meWebThe geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N = 4 super Yang-Mills theory in four dimensions. The key ingredients are electric-magnetic duality of gauge theory, mirror symmetry of sigma-models, branes, Wilson and 't Hooft operators, and topological field theory. cute shorts jenna ortegahttp://www.numdam.org/item/AST_2010__332__369_0.pdf cheap brakes fittedWeb%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, … cute short sleeve dressesWebApr 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. cheap brake service portland oregon