One-point theta functions for vertex operator algebras

Abstract

One-point theta functions for modules of vertex operator algebras (VOAs) are defined and studied. These functions are a generalization of the character theta functions studied by Miyamoto and are deviations of the classical one-point functions for modules of a VOA. Transformation laws with respect to the group ${\mathrm{SL}}_2(\mathbb{Z})$ are established.

arXiv comment21 pages; additional references added