Characters in p-adic Heisenberg and Lattice Vertex Operator Algebras

2023/06/29 by Daniel Barake, Barake, Daniel, Cameron Franc +1
Computer Science · Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2306.17304

openalex publication_date 2023/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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