Supersymmetric t-J Gaudin Models and KZ Equations

Abstract

Supersymmetric t-J Gaudin models with both periodic and open boundary conditions are constructed and diagonalized by means of the algebraic Bethe ansatz method. Off-shell Bethe ansatz equations of the Gaudin systems are derived, and used to construct and solve the KZ equations associated with $sl(2|1{)}^{(1)}$ superalgebra.

LaTex 21 pages

References in corpus (2)

• Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz
• The BCS model and the off shell Bethe ansatz for vertex models

Cited by in corpus (5)

• Exact solution of the XXZ Gaudin model with generic open boundaries
• Trigonometric osp(1|2) Gaudin model
• Solutions of super Knizhnik-Zamolodchikov equations
• $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms
• Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras