# Classification of holomorphic framed vertex operator algebras of central charge 24

@article{Lam2012ClassificationOH,
title={Classification of holomorphic framed vertex operator algebras of central charge 24},
author={Ching Hung Lam and Hiroki Shimakura},
journal={American Journal of Mathematics},
year={2012},
volume={137},
pages={111 - 137}
}
• Published 20 September 2012
• Mathematics
• American Journal of Mathematics
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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