Characters in p-adic Heisenberg and lattice vertex operator algebras

Abstract

We study characters of states in p-adic vertex operator algebras. In particular, we show that the image of the character map for both the p-adic Heisenberg and p-adic lattice vertex operator algebras contain infinitely-many non-classical p-adic modular forms which are not contained in the image of the algebraic character map.

KEYWORDS:

• Heisenberg algebra
• p-adic vertex operator algebras
• p-adic modular forms

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 17B69
• 11F33
• 11D88
• 81R10

Disclosure statement

The authors report there are no competing interests to declare.