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arXiv · 2609.29489

Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One

Shun Xu
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Abstract

We classify the strongly rational vertex operator algebras whose central charge and effective central charge are both one. Every such algebra is isomorphic to one of $V_L,V_L^+,V_{A_1}^{A_4},V_{A_1}^{S_4},V_{A_1}^{A_5},$ where $L$ ranges over the positive-definite even lattices of rank one and $A_1=\sqrt2\mathbb{Z}$.

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Shun Xu. 2026-09-24. Classification of Strongly Rational Vertex Operator Algebras with Central and Effective Central Charge One. https://arxiv.org/abs/2609.29489

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