Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras

Fuente: arXiv
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Auteurs principaux: Barake, Daniel, Franc, Cameron
Format: Preprint
Publié: 2023
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author Barake, Daniel
Franc, Cameron
author_facet Barake, Daniel
Franc, Cameron
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_17304
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras
Barake, Daniel
Franc, Cameron
Number Theory
Quantum Algebra
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.
title Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras
topic Number Theory
Quantum Algebra
url https://arxiv.org/abs/2306.17304