Holomorphic vertex operator algebras of small central charge

@article{Dong2002HolomorphicVO,
  title={Holomorphic vertex operator algebras of small central charge},
  author={Chongying Dong and Geoffrey Mason},
  journal={Pacific Journal of Mathematics},
  year={2002},
  volume={213},
  pages={253-266}
}
  • C. Dong, G. Mason
  • Published 1 March 2002
  • Mathematics
  • Pacific Journal of Mathematics
We provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens. If c = 8 or 16 we show that V is isomorphic to a lattice theory corresponding to a rank c even, self-dual lattice. If c = 24 we prove, among other things, that either V is isomorphic to a lattice theory corresponding to a Niemeier lattice or the Leech lattice, or else the Lie algebra on the weight one subspace V 1 is… 
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