Twisted and non-twisted deformed Virasoro algebras via vertex operators of Uq(sl^ 2)

Mikhail Bershtein, Roman Gonin

Research output: Contribution to journalArticlepeer-review

Abstract

The work is devoted to a probably new connection between deformed Virasoro algebra and quantum affine algebra sl2. We give an explicit realization of Virasoro current via the vertex operators of the level 1 integrable representations of quantum affine algebra sl2. The same is done for a twisted version of deformed Virasoro algebra.

Original languageEnglish
Article number22
JournalLetters in Mathematical Physics
Volume111
Issue number1
DOIs
Publication statusPublished - Feb 2021

Keywords

  • Deformed Virasoro algebra
  • Quantum affine algebra
  • Vertex operators

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