arXiv subjects

L. M. C. S. Rodrigues

Publications and source records attributed to L. M. C. S. Rodrigues.

2 recordsLinked to original sources

arXiv1995

The Role of the Central Element in the Quantum Algebra Underlying the Twisted XXZ Chain

We study the relationship among the XXZ Heisenberg model and three models obtained from it by various transformations. In particular, we emphasize the role of a non trivial central element $t^Z$ in the underlying algebra and its relationship with the twisted boundary conditions, $S^{\pm}_{N+1}=t^{\pm N}S^{\pm}_1$.

hep-th↗

arXiv1994

The Quantum Algebraic Structure of the Twisted XXZ Chain

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 $SU_{q,t}(2)$ enlarged by introducing an element belonging to the centre. The corresponding Hamiltonian describes the spin-1/2 XXZ model with twisted periodic boundary conditions.

hep-th↗