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 BernardGaudinHaldanePasquier. 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.
 Publication:

arXiv eprints
 Pub Date:
 August 1995
 arXiv:
 arXiv:hepth/9508145
 Bibcode:
 1995hep.th....8145U
 Keywords:

 High Energy Physics  Theory
 EPrint:
 amslatex, 42 pages, discrepancies between amslatex 1.1 and newer versions are rectified, two references are added