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BIRS Workshop Lecture Videos

On orbifold theory Dong, Chongying

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Let $V$ be a simple vertex operator algebra and $G$ a finite automorphism group of $V$ such that $V^G$ is regular. It is proved that every irreducible $V^G$-module occurs in an irreducible $g$-twisted $V$-module for some $g\in G.$ Moreover, the quantum dimensions of each irreducible $V^G$-module is determined and a global dimension formula for $V$ in terms of twisted modules is obtained.

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