Gl(n\m) color Calogero-Sutherland models and super Yangian algebra

Changrim Ahn; Wai Ming Koo

doi:10.1016/0370-2693(95)01264-8

Gl(n\m) color Calogero-Sutherland models and super Yangian algebra

Changrim Ahn
, Wai Ming Koo

Department of Physics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A supersymmetric extension of the color Calogero-Sutherland model is considered based on the Yangian Y(gl(n\m)). The algebraic structure of the model is discussed in some detail. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, the rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.

Original language	English
Pages (from-to)	105-112
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	365
Issue number	1-4
DOIs	https://doi.org/10.1016/0370-2693(95)01264-8
State	Published - 4 Jan 1996

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title = "Gl(n\textbackslash{}m) color Calogero-Sutherland models and super Yangian algebra",

abstract = "A supersymmetric extension of the color Calogero-Sutherland model is considered based on the Yangian Y(gl(n\textbackslash{}m)). The algebraic structure of the model is discussed in some detail. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, the rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.",

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AU - Koo, Wai Ming

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N2 - A supersymmetric extension of the color Calogero-Sutherland model is considered based on the Yangian Y(gl(n\m)). The algebraic structure of the model is discussed in some detail. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, the rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.

AB - A supersymmetric extension of the color Calogero-Sutherland model is considered based on the Yangian Y(gl(n\m)). The algebraic structure of the model is discussed in some detail. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, the rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-4

ER -

Gl(n\m) color Calogero-Sutherland models and super Yangian algebra

Abstract

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