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arXiv · 2602.12312

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

Maneesha Ampagouni·Geoffrey Mason·Michael H. Mertens
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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.

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Maneesha Ampagouni, Geoffrey Mason, Michael H. Mertens. 2026-02-12. Balanced root systems and a Schellekens-type list for holomorphic vertex operator algebras of central charge $32$. https://arxiv.org/abs/2602.12312

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