# 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} }

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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