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Shifted vertex operator algebras

Published online by Cambridge University Press:  03 July 2006

CHONGYING DONG
Affiliation:
Department of Mathematics, University of California, Santa Cruz, U.S.A. e-mail: dong@math.ucsc.edu; gem@cats.ucsc.edu
GEOFFREY MASON
Affiliation:
Department of Mathematics, University of California, Santa Cruz, U.S.A. e-mail: dong@math.ucsc.edu; gem@cats.ucsc.edu

Abstract

We study the properties of shifted vertex operator algebras, which are vertex algebras derived from a given theory by shifting the conformal vector. In this way, we are able to exhibit large numbers of vertex operator algebras which are regular (rational and $C_2$-cofinite) and yet are pathological in one way or another.

Type
Research Article
Copyright
2006 Cambridge Philosophical Society

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