Nonabelian orbifolds and the boson-fermion correspondence |
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Authors: | Chongying Dong Geoffrey Mason |
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Institution: | (1) Department of Mathematics, University of California, 95064 Santa Cruz, CA, USA |
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Abstract: | For a positive integerl divisible by 8 there is a (bosonic) holomorphic vertex operator algebra (VOA)
associated to the spin lattice
l
. For a broad class of finite groupsG of automorphisms of
we prove the existence and uniqueness of irreducibleg-twisted
-modules and establish the modular-invariance of the partition functionsZ(g, h, ) for commuting elements inG. In particular, for any finite group there are infinitely many holomorphic VOAs admittingG for which these properties hold. The proof is facilitated by a boson-fermion correspondence which gives a VOA isomorphism between
and a certain fermionic construction, and which extends work of Frenkel and others.Supported by NSA grant MDA904-92-H-3099.Supported by NSF grant DMS-9122030. |
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Keywords: | |
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