Module categories of simple current extensions of vertex operator algebras

Details Module categories of simple current extensions of vertex operator algebras Module categories of simple current extensions of vertex operator algebras

2002-11-16

arxiv.org/abs/math/0211255v3

Mathematics

Quantum Algebra

latex 14 pages, version 2: English corrected, version 3: Hypotheis I is proved in Lemma 3.1

Scientific paper

In this article, we study module categries of simple current extensions of
vertex operator algebras. Under certain assumptions, we show that every module
for a rational vertex operator algebra be lifted to a twisted module for an
extended algebra with an abelian symmetry.

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