$C_2$-cofiniteness of orbifold models for finite groups.

arXiv: Quantum Algebra（2018）

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Abstract

We prove that if $V$ is a $C_2$-cofinite simple vertex operator algebra of CFT-type with a nonsingular invariant bilinear form and its an automorphism group $G$ is finite, then an orbifold model $V^G$ is also $C_2$-cofinite.

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