The trigonometric counterpart of the Haldane Shastry Model
Abstract
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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