Abstract

Let e be an arbitrary even nilpotent element in the general linear Lie superalgebra glM|N and let We be the associated finite W-superalgebra. Let Ym|n be the super Yangian associated to the Lie superalgebra glm|n. A subalgebra of Ym|n, called the shifted super Yangian and denoted by Ym|n(σ), is defined and studied. Moreover, an explicit isomorphism between We and a quotient of Ym|n(σ) is established.

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