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

Maneesha Ampagouni; Geoffrey Mason; Michael H. Mertens

doi:10.48550/arxiv.2602.12312

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

arXiv (Cornell University) 2026 Preprint Open access

Read full text

Authors: Maneesha Ampagouni, Geoffrey Mason, Michael H. Mertens

DOI: 10.48550/arxiv.2602.12312

Cited by: 0

Abstract

We study a special class of holomorphic vertex operator algebras (VOAs) that we call \emph{balanced}.\ For a balanced, holomorphic VOA $V=\mathbb{C}\mathbf{1}\oplus V_1\oplus\dots$ with $c=32$ or $40$ we show that the Virasoro vectors of $V$ and the subVOA generated by $V_1$ coincide and use this result to provide a Schellekens-type list of possible root systems that may occur.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Topics in Algebra Black Holes and Theoretical Physics

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 12 February 2026
Language: EN
Document type: Preprint