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$C_2$-cofiniteness of orbifold models for finite groups

Published 3 Dec 2018 in math.QA | (1812.00570v3)

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 $VG$ is also $C_2$-cofinite.

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