On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras

TL;DR

This paper employs mock modular forms and harmonic Maass forms to derive dimension formulas for specific vertex operator algebras, advancing the understanding of their structure and classification.

Contribution

It introduces new dimension formulas for certain rational vertex operator algebras using Weierstrass mock modular forms, extending prior research in the field.

Findings

Derived explicit dimension formulas for specific vertex operator algebras

Connected mock modular form theory with vertex algebra classification

Extended previous work by van Ekeren, Möller, and Scheithauer

Abstract

Using techniques from the theory of mock modular forms and harmonic Maass forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain strongly rational, holomorphic vertex operator algebras, complementing previous work by van Ekeren, M\"oller, and Scheithauer.