Bethe ansatz for the Temperley-Lieb spin-chain with integrable open boundaries
G. A. P. Ribeiro, A. Lima-Santos
TL;DR
This paper derives the eigenvalues and Bethe ansatz equations for the spin-1 Temperley-Lieb chain with open boundaries, providing a complete spectral characterization using coordinate Bethe ansatz.
Contribution
It presents the first complete Bethe ansatz solution for the spin-1 Temperley-Lieb chain with open boundaries, including explicit eigenvalue expressions.
Findings
Eigenvalue expressions derived for the model
Complete Bethe ansatz equations obtained
Spectral description of the spin chain provided
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.
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