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

Hiroyuki Maruoka, Atsushi Matsuo, Hiroki Shimakura

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)1369-1388
ページ数20
ジャーナルJournal of the Mathematical Society of Japan
68
4
DOI
出版ステータスPublished - 2016 1 1

ASJC Scopus subject areas

  • Mathematics(all)

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