Affine super Yangians and non-rectangular $W$-superalgebras
Mamoru Ueda
TL;DR
This paper introduces a new connection between affine super Yangians and non-rectangular W-superalgebras of type A by constructing specific edge contractions and establishing a homomorphism between their algebraic structures.
Contribution
It constructs four edge contractions for the affine super Yangian of type A and establishes a homomorphism to the universal enveloping algebra of the non-rectangular W-superalgebra, revealing a novel algebraic relationship.
Findings
Established four edge contractions for affine super Yangian of type A
Constructed a homomorphism to non-rectangular W-superalgebra
Linked algebraic structures of super Yangians and W-superalgebras
Abstract
We construct four edge contractions for the affine super Yangian of type . By using these edge contractions, we give a homomorphism from the affine super Yangian of type to the universal enveloping algebra of the non-rectangular -superalgebra of type .
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Logic