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Classification of holomorphic framed vertex operator algebras of central charge 24

Quantum Algebra 2012-09-24 v1

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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Cite

@article{arxiv.1209.4677,
  title  = {Classification of holomorphic framed vertex operator algebras of central charge 24},
  author = {Ching Hung Lam and Hiroki Shimakura},
  journal= {arXiv preprint arXiv:1209.4677},
  year   = {2012}
}

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26 pages