Solutions of glm|n XXX Bethe ansatz equation and rational difference operators. (21st August 2019)

• Record Type: Journal Article
• Authors: Huang, Chenliang; Lu, Kang; Mukhin, Evgeny
• Is Part Of: Journal of physics. Volume 52:Number 37(2019)
• Publication Date: 2019-08-21
• Subjects: supersymmetric spin chains -- Bethe ansatz -- difference operators; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab1960
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We study solutions of the Bethe ansatz equations of the non-homogeneous periodic XXX model associated to super Yangian . To a solution we associate a rational difference operator and a superspace of rational functions W . We show that the set of complete factorizations of is in canonical bijection with the variety of superflags in W and that each generic superflag defines a solution of the Bethe ansatz equation. We also give the analogous statements for the quasi-periodic supersymmetric spin chains.