The ABCDEFG of instantons and W-algebras

Christoph A. Keller, Noppadol Mekareey, Jaewon Song, Yuji Tachikawa

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure N = 2 super Yang-Mills is equal to the norm of a certain coherent state of the corresponding W-algebra. For non-simply-laced gauge groups, we confirm in particular that the coherent state is in the twisted sector of a simply-laced W-algebra.

Original languageEnglish (US)
Article number045
JournalJournal of High Energy Physics
Issue number3
StatePublished - 2012


  • Conformal and W symmetry
  • Duality in gauge field theories
  • Solitons monopoles and instantons
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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