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Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam ACADEMIA SINICA Hiroki Shimakura TOHOKU UNIVERSITY

Quantum Algebra mathscidoc:1811.43002

Distinguished Paper Award in 2018

American Journal of Mathematics, 137, (1), 2015
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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@inproceedings{ching2015classification,
  title={Classification of holomorphic framed vertex operator algebras of central charge 24},
  author={Ching Hung Lam, and Hiroki Shimakura},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20181126094200902779179},
  booktitle={American Journal of Mathematics},
  volume={137},
  number={1},
  year={2015},
}
Ching Hung Lam, and Hiroki Shimakura. Classification of holomorphic framed vertex operator algebras of central charge 24. 2015. Vol. 137. In American Journal of Mathematics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20181126094200902779179.
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