Finite W-superalgebras and truncated super Yangians
Yung-Ning Peng
TL;DR
This paper provides a new proof demonstrating the isomorphism between the super Yangian of the general linear Lie superalgebra and the finite W-superalgebra associated with a rectangular nilpotent element.
Contribution
It introduces a novel proof establishing the isomorphism between super Yangians and finite W-superalgebras for general linear Lie superalgebras.
Findings
Super Yangian of general linear Lie superalgebra is isomorphic to finite W-superalgebra.
New proof technique for the isomorphism.
Clarifies the structure of super Yangians and W-superalgebras.
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.
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