q-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1))
q-alg
2008-02-03 v1 High Energy Physics - Theory
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9612036,
title = {q-differential operator representation of the quantum superalgebra Uq(sl(M+1|N+1))},
author = {Kazuhiro Kimura},
journal= {arXiv preprint arXiv:q-alg/9612036},
year = {2008}
}
Comments
7pages, AMS-Tex, no figure