Representations of mathbb{Z}₂-orbifold of the parafermion vertex operator algebra K(sl₂,k)

Cuipo Jiang , Qing Wang

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keywords algebraoperatorvertexirreduciblemathbbmodulesorbifoldparafermion

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In this paper, the irreducible modules for the $\mathbb{Z}_{2}$-orbifold vertex operator subalgebra of the parafermion vertex operator algebra associated to the irreducible highest weight modules for the affine Kac-Moody algebra $A_1^{(1)}$ of level $k$ are classified and constructed.

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Representations of mathbb{Z}₂-orbifold of the parafermion vertex operator algebra K(sl₂,k)

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