One-point theta functions for vertex operator algebras

Matthew Krauel

One-point theta functions for vertex operator algebras

Quantum Algebra 2017-08-02 v2

Authors: Matthew Krauel

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 $\operatorname{SL}_2(\mathbb{Z})$ are established.

Keywords

vertex operator algebras zeta functions operator theory

Cite

@article{arxiv.1612.02117,
  title  = {One-point theta functions for vertex operator algebras},
  author = {Matthew Krauel},
  journal= {arXiv preprint arXiv:1612.02117},
  year   = {2017}
}

Comments

21 pages; additional references added

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