Finite W-superalgebras and truncated super Yangians

Abstract

We give a new proof of the fact that the super Yangian of general linear Lie superalgebra is isomorphic to the finite W-superalgebra of the general linear Lie superalgebra associated to a rectangular nilpotent element.

13 pages, fixed some typos, and more references are added in this version, comments and suggestions welcome, to appear in Letters in Mathematical Physics

References in corpus (1)

• Gauss Decomposition of the Yangian Y(gl_{m|n})

Cited by in corpus (8)

• Cohomological Hall algebras, vertex algebras and instantons
• Shuffle algebra realizations of type $A$ super Yangians and quantum affine superalgebras for all Cartan data
• Finite W-superalgebras via super Yangians
• On shifted super Yangians and a class of finite W-superalgebras
• Parabolic presentations of the super Yangian $Y({\mathfrak{gl}}_{M|N})$ associated with arbitrary 01-sequences
• On the finite $W$-algebra for the Lie superalgebra Q(N) in the non-regular case
• Coproduct for affine Yangians and parabolic induction for rectangular $W$-algebras
• Odd reflections in the Yangian associated with $\mathfrak{g}l(m|n)$