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

Takeo Kojima

doi:10.1063/1.5047255

paper

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

arXiv:1807.02273 · doi:10.1063/1.5047255

Abstract

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

LaTEX, 41 pages

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Quantum toroidal algebra associated with $gl_{m ∣ n}$

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

Abstract

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