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An inhomogeneous Lax representation for the Hirota equation
Davide Fioravanti, Rafael I. Nepomechie
Motivated by recent work on quantum integrable models without U(1) symmetry, we show that the sl(2) Hirota equation admits a Lax representation with inhomogeneous terms. The compat…
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
Azat M. Gainutdinov, Rafael I. Nepomechie
For generic values of q, all the eigenvectors of the transfer matrix of the U_q sl(2)-invariant open spin-1/2 XXZ chain with finite length N can be constructed using the algebraic…
Universal Bethe ansatz solution for the Temperley-Lieb spin chain
Rafael I. Nepomechie, Rodrigo A. Pimenta
We consider the Temperley-Lieb (TL) open quantum spin chain with "free" boundary conditions associated with the spin- representation of quantum-deformed . We construct th…
Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
Rafael I. Nepomechie, Rodrigo A. Pimenta
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associa…