W-superalgebras as truncation of super-Yangians
Quantum Algebra
2009-11-09 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0209339,
title = {W-superalgebras as truncation of super-Yangians},
author = {C. Briot and E. Ragoucy},
journal= {arXiv preprint arXiv:math/0209339},
year = {2009}
}
Comments
Latex, 32 pages