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Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$

Published 6 Jul 2018 in math.QA, hep-th, math-ph, math.MP, and nlin.SI | (1807.02273v1)

Abstract: We consider commutation relations and invertibility relations of vertex operators for the quantum affine superalgebra $U_q(\widehat{sl}(M|N))$ by using bosonization. We show that vertex operators give a representation of the graded Zamolodchikov-Faddeev algebra by direct computation.Invertibility relations of type-II vertex operators for $N>M$ are very similar to those of type-I for $M>N$.

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