Higgs bundles, gauge theories and quantum groups

DOI10.1007/s00220-007-0369-1zbMath1192.81203arXivhep-th/0609024OpenAlexW2004221755MaRDI QIDQ934582

Anton A. Gerasimov, Samson L. Shatashvili

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0609024

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (30)

Supersymmetric partition functions on Riemann surfaces ⋮ Two-dimensional topological strings revisited ⋮ Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS ⋮ BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters ⋮ \( T\overline{T} \)-deformation of \(q\)-Yang-Mills theory ⋮ Equivariant Verlinde formula from fivebranes and vortices ⋮ Quantum geometry and quiver gauge theories ⋮ Bethe/gauge correspondence for linear quiver theories with ABCD gauge symmetry and spin chains ⋮ Superspin chains and supersymmetric gauge theories ⋮ Bethe/gauge correspondence for ABCDEFG-type 3d gauge theories ⋮ Quantum phases of \(4d\) \(\mathrm{SU}(N)\) \(\mathcal{N} = 4\) SYM ⋮ Dark solitons, D-branes and noncommutative tachyon field theory ⋮ Seiberg-Witten geometry of four-dimensional \(\mathcal{N}=2\) quiver gauge theories ⋮ Gauge theories and Macdonald polynomials ⋮ Note on nonlinear Schrödinger equation, KdV equation and 2D topological Yang–Mills–Higgs theory ⋮ Critical values of the Yang-Yang functional in the quantum sine-Gordon model ⋮ On topological field theory representation of higher analogs of classical special functions ⋮ Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials ⋮ Bands and gaps in Nekrasov partition function ⋮ The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\) ⋮ NONRELATIVISTIC HOLOGRAPHY — A GROUP-THEORETICAL PERSPECTIVE ⋮ Gravity dual of two-dimensional \(\mathcal{N}=(2,2)^{\ast}\) supersymmetric Yang-Mills theory and integrable models ⋮ Bethe/gauge correspondence on curved spaces ⋮ The omega deformation, branes, integrability and Liouville theory ⋮ Correlators of local operators and 1/8 BPS Wilson loops on \(S^{2}\) from 2d YM and matrix models ⋮ Darboux coordinates, Yang-Yang functional, and gauge theory ⋮ Quantum geometry of refined topological strings ⋮ \( G/G\) gauged WZW model and Bethe ansatz for the phase model ⋮ Localization of the four-dimensional \({\mathcal N}=4\) SYM to a two-sphere and 1/8 BPS Wilson loops ⋮ Laughlin states and gauge theory

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