Rational vertex operator algebras and the effective central charge

@article{Dong2002RationalVO,
  title={Rational vertex operator algebras and the effective central charge},
  author={Chongying Dong and Geoffrey Mason},
  journal={International Mathematics Research Notices},
  year={2002},
  volume={2004},
  pages={2989-3008}
}
  • C. Dong, G. Mason
  • Published 31 January 2002
  • Mathematics
  • International Mathematics Research Notices
We establish that the Lie algebra of weight 1 states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank 1 is bounded above by the effective central charge c~. We show that lattice vertex operator algebras may be characterized by the equalities c~=l=c, and in particular holomorphic lattice theories may be characterized among all holomorphic vertex operator algebras by the equality l = c. 
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