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$gl(n|m)$ color Calogero-Sutherland models and Super Yangian Algebra

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arxiv hep-th/9505060 v1 pith:5DGFCLUX submitted 1995-05-11 hep-th cond-mat

C. Ahn , W. M. Koo (Ewha Womans University/CTP-SNU) This is my paper · ORCID
classification hep-thcond-mat
keywords modelyangianalgebracalogero-sutherlandcolorsuperadditionalgebraic
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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 details. We show that the commuting conserved quantities can be generated from the super-quantum determinant, thus establishing the integrability of the model. In addition, rational limit of the model is studied where the Yangian symmetry degenerates into a super loop algebra.

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  1. Double Yangian and reflection algebras of the Lie superalgebra $\mathfrak{gl}_{M|N}$, II: Quantum currents

    math.QA 2026-08 conditional novelty 6.0 of 10

    The authors extend the Etingof-Kazhdan quantum vertex algebra construction and the critical-level central element construction from the double Yangian of gl_M to the Lie superalgebra gl_{M|N}.

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