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W-superalgebras as truncation of super-Yangians

C. Briot·E. Ragoucy
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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.

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C. Briot, E. Ragoucy. 2002-09-25. W-superalgebras as truncation of super-Yangians. https://doi.org/10.1088/0305-4470/36/4/314

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