Exact solutions of graded Temperley-Lieb Hamiltonians

Abstract

Orthosympletic Hamiltonians derived from representations of the Temperley-Lieb algebra are presented and solved via the coordinate Bethe Ansatz. The spectra of these Hamiltonians are obtained using open and closed boundary conditions.

39 pages, LaTex

References in corpus (2)

• The algebraic Bethe ansatz for rational braid-monoid lattice models
• A Bethe ansatz solution for the closed $U_q[sl(2)]$ Temperley-Lieb quantum spin chains

Cited by in corpus (4)

• Integrable Hamiltonians with $D(D_n)$ symmetry from the Fateev-Zamolodchikov model
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• Bethe Ansatz solutions for Temperley-Lieb Quantum Spin Chains
• On the ${\mathcal{U}}_q[osp(1|2)]$ Temperley-Lieb model