Yangian realisations from finite W algebras
E. Ragoucy, P. Sorba
TL;DR
This paper constructs a homomorphism linking Yangians and finite W-algebras, providing new tools to analyze finite-dimensional representations of these algebraic structures.
Contribution
It introduces a novel algebra homomorphism from Y(sl(n)) to finite W-algebras W(sl(np), n.sl(p)), advancing the understanding of their interrelations.
Findings
Established a homomorphism between Yangian and finite W-algebras.
Applied the homomorphism to analyze finite-dimensional representations.
Enhanced the theoretical framework connecting Yangians and W-algebras.
Abstract
We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras.
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