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arXiv · 1807.02273

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

Takeo Kojima
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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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Takeo Kojima. 2018-07-06. Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$. https://doi.org/10.1063/1.5047255

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