Classification of vertex operator algebras of class S4 with minimal conformal weight one

Hiroyuki Maruoka, Atsushi Matsuo, Hiroki Shimakura

Research output: Contribution to journalArticle

Abstract

In this article, we describe the trace formulae of composition of several (up to four) adjoint actions of elements of the Lie algebra of a vertex operator algebra by using the Casimir elements. As an application, we give constraints on the central charge and the dimension of the Lie algebra for vertex operator algebras of class S4. In addition, we classify vertex operator algebras of class S4 with minimal conformal weight one under some assumptions.

Original languageEnglish
Pages (from-to)1369-1388
Number of pages20
JournalJournal of the Mathematical Society of Japan
Volume68
Issue number4
DOIs
Publication statusPublished - 2016 Jan 1

Keywords

  • Deligne's exceptional Lie algebras
  • Trace formula
  • Vertex operator algebra

ASJC Scopus subject areas

  • Mathematics(all)

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