The omega deformation, branes, integrability and Liouville theory View Full Text


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Article Info

DATE

2010-09

AUTHORS

Nikita Nekrasov, Edward Witten

ABSTRACT

We reformulate the Ω-deformation of four-dimensional gauge theory in a way that is valid away from fixed points of the associated group action. We use this reformulation together with the theory of coisotropic A-branes to explain recent results linking the Ω-deformation to integrable Hamiltonian systems in one direction and Liouville theory of two-dimensional conformal field theory in another direction. More... »

PAGES

92

References to SciGraph publications

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  • 2010-02. Liouville Correlation Functions from Four-Dimensional Gauge Theories in LETTERS IN MATHEMATICAL PHYSICS
  • 2005-06-13. Coisotropic branes, noncommutativity, and the mirror correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-09-03. Loop operators and S-duality from curves on Riemann surfaces in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-07. Mirror symmetry, Langlands duality, and the Hitchin system in INVENTIONES MATHEMATICAE
  • 2000-01. Integrating over Higgs Branches in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1998-02-05. Noncommutative geometry and Matrix theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-09-30. String theory and noncommutative geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-09. A quantum Teichmüller space in THEORETICAL AND MATHEMATICAL PHYSICS
  • 1994-12. Gaudin model, Bethe Ansatz and critical level in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2009-02. The quantum dilogarithm and representations of quantum cluster varieties in INVENTIONES MATHEMATICAE
  • 1990-07. Flat connections and geometric quantization in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1988-09. Topological quantum field theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2009-11-04. AN−1 conformal Toda field theory correlation functions from conformal 𝒩 = 2 SU(N) quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-01. Higgs Bundles, Gauge Theories and Quantum Groups in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep09(2010)092

    DOI

    http://dx.doi.org/10.1007/jhep09(2010)092

    DIMENSIONS

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