3 papers
math.QA2026
Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge
Maneesha Ampagouni, Geoffrey Mason, Michael H. Mertens
We study a special class of holomorphic vertex operator algebras (VOAs) that we call \emph{balanced}.\ For a balanced, holomorphic VOA …
math.NT2026
Vertex operator algebra bundles on modular curves and their associated modular forms
Daniel Barake, Owen Chuchman, Cameron Franc +2
This paper describes the vector bundle on the elliptic modular curve that is associated to a vertex operator algebra (VOA) or more generally a quasi-vertex operator algebra (QV…
math.NT2024
Invitation to -adic vertex algebras
Cameron Franc, Geoffrey Mason
An overview of the authors' ideas about the process of completing a -adically normed space in the setting of vertex operator algebras. We focus in particular on the -adic Hei…