The level one zhu algebra for the virasoro vertex operator algebra

Katrina Barron, Nathan Vander Werf, Jinwei Yang

Research output: Contribution to journalArticlepeer-review

Abstract

The level one Zhu algebra for the Virasoro vertex operator algebra is constructed, and implications for the use of Zhu algebras of higher level for vertex operator algebras are discussed. In particular, we show that the level one Zhu algebra gives rise to new indecomposable non simple modules for the Virasoro vertex operator algebra not detected by or induced from the level zero Zhu algebra.

Original languageEnglish (US)
Pages (from-to)17-43
Number of pages27
JournalContemporary Mathematics
Volume753
DOIs
StatePublished - 2020

Keywords

  • Conformal field theory
  • Vertex operator algebras
  • Virasoro algebra

ASJC Scopus subject areas

  • Mathematics(all)

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