Rational vertex operator algebras and the effective central charge

Rational vertex operator algebras and the effective central charge

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 particu...

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Veröffentlicht in:International Mathematics Research Notices 2004, Vol.2004 (56), p.2989-3008
Hauptverfasser: Dong, Chongying, Mason, Geoffrey
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Mason, Geoffrey
description 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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source Alma/SFX Local Collection; EZB Electronic Journals Library; Oxford Journals
title Rational vertex operator algebras and the effective central charge
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