Genus Two Virasoro Correlation Functions for Vertex Operator Algebras

Abstract

We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms of a sequence of globally defined differential operators on which the genus two Siegel modular group $Sp(4,\mathbb{Z})$ has a natural action.

19 pages

References in corpus (1)

• Genus Two Zhu Theory for Vertex Operator Algebras