Spin chains from dynamical quadratic algebras

Abstract

We present a construction of integrable quantum spin chains where local spin-spin interactions are weighted by ``position''-dependent potential containing abelian non-local spin dependance. This construction applies to the previously defined three general quadratic reflection-type algebras: respectively non-dynamical, semidynamical, fully dynamical.

12 pages, no figures; v2: corrected formulas of the last section

References in corpus (2)

• Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
• Quantization of classical dynamical $r$-matrices with nonabelian base

Cited by in corpus (3)

• From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
• A new dynamical reflection algebra and related quantum integrable systems
• Algebraic structure of classical integrability for complex sine-Gordon