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arXiv · 1209.4677

Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam·Hiroki Shimakura
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Abstract

This article is a continuation of our work on the classification of holomorphic framed vertex operator algebras of central charge 24. We show that a holomorphic framed VOA of central charge 24 is uniquely determined by the Lie algebra structure of its weight one subspace. As a consequence, we completely classify all holomorphic framed vertex operator algebras of central charge 24 and show that there exist exactly 56 such vertex operator algebras, up to isomorphism.

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Ching Hung Lam, Hiroki Shimakura. 2012-09-20. Classification of holomorphic framed vertex operator algebras of central charge 24. https://arxiv.org/abs/1209.4677

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