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.
Categories: hep-th