The trigonometric counterpart of the Haldane Shastry Model

Details The trigonometric counterpart of the Haldane Shastry Model The trigonometric counterpart of the Haldane Shastry Model

1995-08-27

arxiv.org/abs/hep-th/9508145v2

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

The hierarchy of Integrable Spin Chain Hamiltonians, which are trigonometric analogs of the Haldane Shastry Model and of the associated higher conserved charges, is derived by a reduction from the trigonometric Dynamical Models of Bernard-Gaudin-Haldane-Pasquier. The Spin Chain Hamiltonians have the property of $U_q(\hat{gl}_2)$-invariance. The spectrum of the Hamiltonians and the $U_q(\hat{gl}_2)$-representation content of their eigenspaces are found by a descent from the Dynamical Models.

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