Trigonometric sl(2) Gaudin model with boundary terms

Abstract

We review the derivation of the Gaudin model with integrable boundaries. Starting from the non-symmetric R-matrix of the inhomogeneous spin-1/2 XXZ chain and generic solutions of the reflection equation and the dual reflection equation, the corresponding Gaudin Hamiltonians with boundary terms are calculated. An alternative derivation based on the so-called classical reflection equation is discussed.

16 pages

References in corpus (2)

• Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms
• Bethe Ansatz approach to the pairing fluctuations in the mesoscopic regime

Cited by in corpus (8)

• On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system
• Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
• Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
• Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary
• Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model
• Jordanian deformation of the open sl(2) Gaudin model
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries