Vertex operator algebras associated to the Virasoro algebra over an arbitrary field

Abstract

The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F whose characteristic is not equal to 2 are studied. The irreducible modules of vertex operator algebra L(1/2,0)_F are classified. The rationality of L(1/2,0)_F is established if the characteristic of F is different from 7.

20 pages

References in corpus (3)

• Framed vertex operator algebras, codes and the moonshine module
• Twisted representations of vertex operator algebras and associative algebras
• McKay's observation and vertex operator algebras generated by two conformal vectors of central charge 1/2

Cited by in corpus (2)

• Heisenberg VOAs over Fields of Prime Characteristic and Their Representations
• Some conjectures on modular representations of affine ${\mathfrak{sl}}_2$ and Virasoro algebra