Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$

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 $V=\mathbb{C}1\oplus V_1\oplus \dots$…