Integral forms for tensor powers of the Virasoro vertex operator algebra $L(\frac{1}{2},0)$ and their modules

Abstract

We construct integral forms containing the conformal vector $\omega$ in certain tensor powers of the Virasoro vertex operator algebra $L(\frac{1}{2},0)$, and we construct integral forms in certain modules for these algebras. When a triple of modules for a tensor power of $L(\frac{1}{2},0)$ have integral forms, we classify which intertwining operators among these modules respect the integral forms. As an application, we explore how these results might be used to obtain integral forms in framed vertex operator algebras.

20 pages

References in corpus (3)

• On integral forms for vertex algebras associated with affine Lie algebras and lattices
• Applications of vertex algebra covering procedures to Chevalley groups and modular moonshine
• Intertwining operators among modules for affine Lie algebra and lattice vertex operator algebras which respect integral forms

Cited by in corpus (3)

• Modular $A_n(V)$ theory
• Cliffold algebras, modular Virasoro vertex operator algebras and Z[1/2]-forms
• Moduli spaces of conformal structures on Heisenberg vertex algebras