sl_2 Gaudin model with Jordanian twist

Abstract

sl_2 Gaudin model with Jordanian twist is studied. This system can be obtained as the semiclassical limit of the XXX spin chain deformed by the Jordanian twist. The appropriate creation operators that yield the Bethe states of the Gaudin model and consequently its spectrum are defined. Their commutation relations with the generators of the corresponding loop algebra as well as with the generating function of integrals of motion are given. The inner products and norms of Bethe states and the relation to the solutions of the Knizhnik-Zamolodchikov equations are discussed.

22 pages; corrected typos

References in corpus (10)

• Gaudin Model, Bethe Ansatz and Critical Level
• Quasiclassical asymptotics of solutions to the KZ equations
• Off-Shell Bethe Ansatz Equation for Gaudin Magnets and Solutions of Knizhnik-Zamolodchikov Equations
• Generating function of correlators in the sl_2 Gaudin model
• Deformed Yangians and Integrable Models
• Universal $R$-matrix for non-standard quantum $sl(2,\mathbb{R})$
• Trigonometric osp(1|2) Gaudin model
• Quantum and Classical Integrable Systems
• Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets
• Quantum Jordanian twist

Cited by in corpus (4)

• Completeness of the Bethe states for the rational, spin-1/2 Richardson--Gaudin system
• Algebraic Bethe Ansatz for deformed Gaudin model
• Jordanian deformation of the open sl(2) Gaudin model
• Deformed Richardson-Gaudin model