# C 2-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebras - Mathematics > Quantum Algebra

Abstract: In this article, we give a sufficient and necessary condition for the$C 2$-cofiniteness of the 2-cycle permutation orbifold model $V\otimesV^\sigma$ for a $C 2$-cofinite vertex operator algebra and the 2-cyclepermutation $\sigma$ of $V\otimes V$. As an application, we show that the2-cycle permutation orbifold model of the simple Virasoro vertex operatoralgebra $Lc,0$ of minimal central charge $c$ is $C 2$-cofinite.

Author: Toshiyuki Abe

Source: https://arxiv.org/