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arXiv · 2306.17304

Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras

Daniel Barake·Cameron Franc
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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.

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Daniel Barake, Cameron Franc. 2023-06-29. Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras. https://arxiv.org/abs/2306.17304

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