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

We consider commutation relations and invertibility relations of vertex operators for the quantum affine superalgebra $U_{q} (\hat{s l} (M ∣ N))$ 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 $M > N$ .

Commutation relations of vertex operators for $U_{q} (\hat{s l} (M ∣ N))$

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Commutation relations of vertex operators for $U_{q} (\hat{s l} (M ∣ N))$

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Commutation relations of vertex operators for Uq(sl^(M∣N))Uq​(sl(M∣N))

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Commutation relations of vertex operators for Uq(sl^(M∣N))Uq​(sl(M∣N))

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Commutation relations of vertex operators for $U_{q} (\hat{s l} (M ∣ N))$

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Commutation relations of vertex operators for $U_{q} (\hat{s l} (M ∣ N))$

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