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arXiv 1995-08-27 0 views

The trigonometric counterpart of the Haldane Shastry Model

Uglov, Denis

Original · EN

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 Uq(gl₂)-invariance. The spectrum of the Hamiltonians and the Uq(gl₂)-representation content of their eigenspaces are found by a descent from the Dynamical Models.

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