Mathematics > Quantum Algebra
[Submitted on 22 Nov 2021]
Title:Quantum coordinate ring in WZW model and affine vertex algebra extensions
View PDFAbstract:In this paper, we construct various simple vertex superalgebras which are extensions of affine vertex algebras, by using abelian cocycle twists of representation categories of quantum groups. This solves the Creutzig and Gaiotto conjectures in the case of type ABC. If the twist is trivial, the resulting algebras correspond to chiral differential operators in the chiral case, and to WZW models in the non-chiral case.
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