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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 15 pages

Scientific paper

10.1016/0370-2693(95)00684-D

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,
$S^{\pm}_{N+1}=t^{\pm N}S^{\pm}_1$.

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