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Classification of holomorphic framed vertex operator algebras of central charge 24
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 137, Number 1, February 2015
- pp. 111-137
- 10.1353/ajm.2015.0001
- Article
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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.