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arxiv: 1807.02273 · v1 · pith:ZJSNSJSTnew · submitted 2018-07-06 · 🧮 math.QA · hep-th· math-ph· math.MP· nlin.SI

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

classification 🧮 math.QA hep-thmath-phmath.MPnlin.SI
keywords operatorsrelationsvertexcommutationinvertibilitywidehataffinealgebra
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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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