Loop and surface operators in N = 2 gauge theory and Liouville modular geometry

Luis F. Alday, Davide Gaiotto, Sergei Gukov, Yuji Tachikawa, Herman Verlinde

Research output: Contribution to journalArticle

227 Scopus citations

Abstract

Recently, a duality between Liouville theory and four dimensional N = 2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation value of general supersymmetric 't Hooft-Wilson line operators in a variety of N = 2 gauge theories.

Original languageEnglish (US)
Article number113
JournalJournal of High Energy Physics
Volume2010
Issue number1
DOIs
StatePublished - Aug 2 2010

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Conformal and W symmetry
  • Supersymmetric gauge theorys
  • Supersymmetry and duality

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