Center of quantum group in roots of unity and the restriction of integrable models

Details Center of quantum group in roots of unity and the restriction of integrable models Center of quantum group in roots of unity and the restriction of integrable models

2003-05-23

arxiv.org/abs/hep-th/0305209v2

J.Phys.A37:317-322,2004

Physics

High Energy Physics

High Energy Physics - Theory

9 pages,LaTeX,corrected typos

Scientific paper

10.1088/0305-4470/37/2/003

We show the connection between the extended center of the quantum group in roots of unity and the restriction of the $XXZ$ model. We also give explicit expressions for operators that respect the restriction and act on the state space of the restricted models. The formulas for these operators are verified by explicit calculation for third-degree roots; they are conjectured to hold in the general case.

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