The omega deformation, branes, integrability and Liouville theory

Nikita Nekrasov, Edward Witten

Research output: Contribution to journalArticlepeer-review

148 Citations (Scopus)

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.

Original languageEnglish
Article number92
JournalJournal of High Energy Physics
Volume2010
Issue number9
DOIs
Publication statusPublished - 2010
Externally publishedYes

Keywords

  • Brane dynamics in gauge theories
  • Integrable field theories
  • Supersymmetric gauge theory

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