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

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

1996-12-30

arxiv.org/abs/q-alg/9612036v1

Physics

High Energy Physics

High Energy Physics - Theory

7pages, AMS-Tex, no figure

Scientific paper

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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