2024 Gauge theory and langlands duality

Gauge theory and langlands duality

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August undefined, 2024

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 …

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WebMay 17, 2009 · Download PDF Abstract: Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can be naturally understood as a consequence of electric-magnetic duality of four-dimensional gauge theory. This duality in turn is naturally understood as a consequence of the existence of a certain exotic … 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 the lake superior railroad museum

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WebThe 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: ... 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 … WebEdward Frenkel's talk from the MSRI introductory workshop on "Geometric Representation Theory" that took place at MSRI, Berkeley in September 2014. The works... thw ls19 mods

[0906.2747] Gauge Theory and Langlands Duality

Gauge Theory, Mirror Symmetry, and the Geometric Langlands …

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 … 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 ... the lakes wadhams mihttp://insti.physics.sunysb.edu/ITP/conf/simonswork3/talks/Witten.pdf the lakes townsville holiday park

"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 ... " - Gauge theory and langlands duality

Gauge theory and langlands duality

WebApr 21, 2006 · The key ingredients are electric-magnetic duality of gauge theory, mirror symmetry of sigma-models, branes, Wilson and 't Hooft operators, and topological … 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 …

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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 ... 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 …

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, … 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 …

WebJun 15, 2009 · Gauge Theory and Langlands Duality Asterisque- Societe Mathematique de France arXiv Authors: Edward Frenkel Request full-text Abstract The Langlands … 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.

WebJul 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. …

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 ... the lakes townsville caravan parkWebThe 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 … the lakes villas for saleWebApr 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. the lakes venueelectro-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 … thelaketeam1.comWebA 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 … the lakes vilamouraWebWe 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 … the lakes villas for sale pinellas park flhttp://www.numdam.org/item/AST_2010__332__369_0/ the lake thai movie 2022 free download