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A level-one representation of the quantum affine superalgebra q(sl(M+1|N+1))

K. Kimura, J. Shiraishi, J. Uchiyama

q-algarXiv:q-alg/9605047

Abstract

A level-one representation of the quantum affine superalgebra q(sl(M+1|N+1)) and vertex operators associated with the fundamental representations are constructed in terms of free bosonic fields. Character formulas of level-one irreducible highest weight modules of q(sl(2|1)) are conjectured.

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