Higgs Bundles, Gauge Theories and Quantum Groups (original) (raw)

Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories

Nikita Nekrasov

2012

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Extended higgs models and ’t hooft algebra

Paola Zizzi

Il Nuovo Cimento A, 1979

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Group approach to quantization of Yang-Mills theories: a cohomological origin of mass

Manuel Calixto

Journal of Physics A: Mathematical and General, 1999

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Algebraic formulation of higher gauge theory

Roberto Zucchini

Journal of Mathematical Physics

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JET-GAUGE GROUPS AS BASIC SYMMETRIES OF NON-LINEAR SIGMA AND YANG–MILLS MODELS AND QUANTIZATION

Julio Guerrero

International Journal of Geometric Methods in Modern Physics, 2012

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From chiral to two-dimensional Wess-Zumino-Novikov-Witten model via quantum gauge group

Ludmil Hadjiivanov

Reports on Mathematical Physics, 1999

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Quantum geometry and quiver gauge theories

Nikita Nekrasov

Eprint Arxiv 1312 6689, 2013

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Double quantization of Seiberg–Witten geometry and W-algebras

Taro Kimura

Proceedings of Symposia in Pure Mathematics, 2018

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Symmetry group of massive Yang-Mills theories without Higgs and their quantization

Francisco F. Lopez-Ruiz, Manuel Calixto

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Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl(N) Quantum Intermediate Long Wave Hydrodynamics

Alessandro Tanzini

Journal of High Energy Physics, 2014

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Advanced topics in gauge theory: Mathematics and Physics of Higgs bundles

Laura Schaposnik

Quantum Field Theory and Manifold Invariants, 2021

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Hamiltonian Cohomological Derivation of Four-Dimensional Nonlinear Gauge Theories

Eugen Cioroianu

International Journal of Modern Physics A, 2002

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Extended TQFT, Gauge Theory, And 2-Linearization

Jeffrey Morton

2010

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Higgs fields as Yang-Mills fields and discrete symmetries

Robert Coquereaux

Nuclear Physics B, 1991

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Higgs Bundles—Recent Applications

Laura Schaposnik

Notices of the American Mathematical Society

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D ec 2 01 3 TCD-MATH-13-17 , HMI-1302 QUANTUM GEOMETRY AND QUIVER GAUGE THEORIES

Samson Shatashvili

2018

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Cohomology of gauge fields and explicit construction of Wess-Zumino lagrangians in nonlinear sigma models over G/H

Yong-shi Wu

Physics Letters B, 1985

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Higgs bundles without geometry

Laura Schaposnik

arXiv: Algebraic Geometry, 2020

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Quantization of Integrable Systems and Four Dimensional Gauge Theories

Nikita Nekrasov

XVIth International Congress on Mathematical Physics, 2010

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A Brief Survey of Higgs Bundles

Ronald Alberto Zúñiga Rojas

Revista de Matemática: Teoría y Aplicaciones, 2019

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$ W_\ infty $ Algebra and Geometric Formulation of QCD $ _2$

Spenta Wadia

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A Brief Survey of Higgs Bundles Un Estudio Conciso De Fibrados De Higgs

Ronald Alberto Zúñiga Rojas

2019

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Quantum theory of strings in an Abelian Higgs model

Mikhail Zubkov

Physical Review D, 1996

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Two-dimensional gauge theories and quantum integrable systems

Samson Shatashvili

Arxiv preprint arXiv:0711.1472, 2007

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Representations of quantum tori and double-affine Hecke algebras

Sam Evens

2000

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The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories

Georgios Itsios

Nuclear Physics B, 2014

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Topology of quantum gauge fields and duality (I): Yang-Mills-Higgs system in 2 + 1 dimensions

Spenta Wadia

Physics Letters B, 1981

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Quantization of non-abelian gauge theory. I. Gauge invariant Hamiltonian formulation

Christofer Cronström

Annals of Physics, 1981

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Holomorphic field realization of SH c and quantum geometry of quiver gauge theories

Yutaka Matsuo

Journal of High Energy Physics, 2016

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On the Hamiltonian formulation of Yang--Mills gauge theories

Danilo Bruno

2005

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A Quantizable Model of Massive Gauge Vector Bosons without Higgs

Francisco F. Lopez-Ruiz, Manuel Calixto

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Spectral data for G-Higgs bundles

Laura Schaposnik

arXiv (Cornell University), 2013

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Lie Algebroids as Gauge Symmetries in Topological Field Theories

K Job

Michael Marinov Memorial Volume, 2002

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BRST ANALYSIS OF GAUGE THEORIES BASED ON NONLINEAR ALGEBRAS IN 2d

Tatjana Vukasinac

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A geometric approach to orthogonal Higgs bundles

Laura Schaposnik

European Journal of Mathematics, 2017

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