Quiver W-algebras

Taro Kimura, Vasily Pestun

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


For a quiver with weighted arrows, we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al. and Frenkel and Reshetikhin. In particular, we show that the qq-character construction of gauge theory presented by Nekrasov is isomorphic to the definition of the W-algebra in the operator formalism as a commutant of screening charges in the free field representation. Besides, we allow arbitrary quiver and expect interesting applications to representation theory of generalized Borcherds–Kac–Moody Lie algebras, their quantum affinizations and associated W-algebras.

Original languageEnglish
Pages (from-to)1351-1381
Number of pages31
JournalLetters in Mathematical Physics
Issue number6
Publication statusPublished - 2018 Jun 1


  • Conformal field theories
  • Quantum groups
  • Quiver
  • Supersymmetric gauge theories
  • W-algebras
  • instanton

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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