W-superalgebras as truncation of super-Yangians

Details W-superalgebras as truncation of super-Yangians W-superalgebras as truncation of super-Yangians

2002-09-25

arxiv.org/abs/math/0209339v1

J. Phys. A36 (2003) 1057

Mathematics

Quantum Algebra

Latex, 32 pages

Scientific paper

10.1088/0305-4470/36/4/314

We show that some finite W-superalgebras based on gl(M|N) are truncation of the super-Yangian Y(gl(M|N)). In the same way, we prove that finite W-superalgebras based on osp(M|2n) are truncation of the twisted super-Yangians Y(gl(M|2n))^{+}. Using this homomorphism, we present these W-superalgebras in an R-matrix formalism, and we classify their finite-dimensional irreducible representations.

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