Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras
Number Theory
2024-01-30 v3 Quantum Algebra
Abstract
We study characters of states in -adic vertex operator algebras. In particular, we show that the image of the character map for both the -adic Heisenberg and -adic lattice vertex operator algebras contain infinitely-many non-classical -adic modular forms which are not contained in the image of the algebraic character map.
Keywords
Cite
@article{arxiv.2306.17304,
title = {Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras},
author = {Daniel Barake and Cameron Franc},
journal= {arXiv preprint arXiv:2306.17304},
year = {2024}
}
Comments
15 pages, V2 fixed typo in Lemma 3.4, V3 added background subsections and introduction restructured