Quiver W-algebras

Taro Kimura, Vasily Pestun

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

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)1-31
Number of pages31
JournalLetters in Mathematical Physics
DOIs
Publication statusAccepted/In press - 2018 Mar 21

Fingerprint

W-algebras
Quiver
algebra
Gauge Theory
gauge theory
Commutant
Representation Theory
Screening
Lie Algebra
Isomorphic
Charge
screening
Arbitrary
formalism
Operator
operators

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Quiver W-algebras. / Kimura, Taro; Pestun, Vasily.

In: Letters in Mathematical Physics, 21.03.2018, p. 1-31.

Research output: Contribution to journalArticle

Kimura, Taro ; Pestun, Vasily. / Quiver W-algebras. In: Letters in Mathematical Physics. 2018 ; pp. 1-31.
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