The Quantum Algebraic Structure of the Twisted XXZ Chain

Abstract

We consider the Quantum Inverse Scattering Method with a new R-matrix depending on two parameters $q$ and $t$. We find that the underlying algebraic structure is the two-parameter deformed algebra $S{U}_{q,t}(2)$ enlarged by introducing an element belonging to the centre. The corresponding Hamiltonian describes the spin-1/2 XXZ model with twisted periodic boundary conditions.

LateX file, 9 pages, Minor changes (including authors` names in the hep-th heading)

References in corpus (2)

• Algebraic Aspects of Bethe-Ansatz
• Integrble Models in Condensed Matter Physics

Cited by in corpus (3)

• Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
• Two-parameter deformed supersymmetric oscillators with SUq1/q2(n|m)-covariance
• The Role of the Central Element in the Quantum Algebra Underlying the Twisted XXZ Chain