q-Differential Operator Representation of the Quantum

نویسنده

  • KAZUHIRO KIMURA
چکیده

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(ŝl(M + 1|N + 1)) at arbitrary level.

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تاریخ انتشار 2008