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

K. Kimura; J. Shiraishi; J. Uchiyama

doi:10.1007/s002200050169

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arXiv · q-alg/9605047

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

K. Kimura·J. Shiraishi·J. Uchiyama

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Abstract

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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K. Kimura, J. Shiraishi, J. Uchiyama. 1996-06-03. A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$. https://doi.org/10.1007/s002200050169

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