p-adic vertex operator algebras
| Autor: | Cameron Franc, Geoffrey Mason |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2207.07455 |
| Popis: | We postulate axioms for a chiral half of a nonarchimedean 2-dimensional bosonic conformal field theory, that is, a vertex operator algebra in which a p-adic Banach space replaces the traditional Hilbert space. We study some consequences of our axioms leading to the construction of various examples, including p-adic commutative Banach rings and p-adic versions of the Virasoro, Heisenberg, and the Moonshine module vertex operator algebras. Serre p-adic modular forms occur naturally in some of these examples as limits of classical 1-point functions. Comment: 40 pages. V2: Section 10 added, other minor changes. V3: Section 10 revised |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|