Bethe ansatz for the Temperley-Lieb spin-chain with integrable open boundaries

Abstract

In this paper we study the spectrum of the spin-1 Temperley-Lieb spin chain with integrable open boundary conditions. We obtain the eigenvalue expressions as well as its associated Bethe ansatz equations by means of the coordinate Bethe ansatz. These equations provide the complete description of the spectrum of the model.

23 pages

References in corpus (2)

• Reflection $K$-matrices related to Temperley-Lieb $R$-matrices
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices

Cited by in corpus (3)

• Classification of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
• Topological Basis Associated with B-M-W algebra: Two Spin-1/2 Realization
• On the ${\mathcal{U}}_q[osp(1|2)]$ Temperley-Lieb model