The omega deformation, branes, integrability and Liouville theory

Nikita Nekrasov, Edward Witten

Research output: Contribution to journalArticlepeer-review

165 Scopus citations


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 (US)
Article number92
JournalJournal of High Energy Physics
Issue number9
StatePublished - 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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


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