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q-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1))

Kazuhiro Kimura
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Abstract

A representation of the quantum superalgebra Uq(sl(M+1|N+1)) is constructed based on the q-differential operators acting on the coherent states parameterized by coordinates. These coordinates correspond to the local ones of the flag manifold. This realization provides us with a guide to construct the free field realization for the quantum affine superalgebra Uq^(sl(M+1|N+1)) at arbitrary level.

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BibTeXRIS

Kazuhiro Kimura. 1996-12-30. q-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1)). https://arxiv.org/abs/q-alg/9612036

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