Integrable Hamiltonians with $D(D_n)$ symmetry from the Fateev-Zamolodchikov model

Abstract

A special case of the Fateev-Zamolodchikov model is studied resulting in a solution of the Yang-Baxter equation with two spectral parameters. Integrable models from this solution are shown to have the symmetry of the Drinfeld double of a dihedral group. Viewing this solution as a descendant of the zero-field six-vertex model allows for the construction of functional relations and Bethe ansatz equations.

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Interacting anyons in topological quantum liquids: The golden chain
• A short introduction to Fibonacci anyon models
• Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons
• Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
• Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D_3) symmetry

Cited by in corpus (4)

• The $D(D_3)$-anyon chain: integrable boundary conditions and excitation spectra
• Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons
• Anyon Chains with Pairing Terms
• Collective states of interacting $D(D_3)$ non-Abelian anyons