A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$

Details A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$ A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$

1996-06-02

arxiv.org/abs/q-alg/9605047v3

Mathematics

Quantum Algebra

AMS-TeX, 11 pages

Scientific paper

10.1007/s002200050169

A level-one representation of the quantum affine superalgebra
$\U_q(\hat{\frak{sl}}(M+1|N+1))$ 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
$\U_q(\hat{\frak{sl}}(2|1))$ are conjectured.

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