The trigonometric counterpart of the Haldane Shastry Model

Denis Uglov

The trigonometric counterpart of the Haldane Shastry Model

High Energy Physics - Theory 2008-02-03 v2

Authors: Denis Uglov

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 $U_q(\hat{gl}_2)$ -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.

Keywords

haldane-shastry model integrable spin chain trigonometric models dynamical models uq(gl2) invariance spectrum

Cite

@article{arxiv.hep-th/9508145,
  title  = {The trigonometric counterpart of the Haldane Shastry Model},
  author = {Denis Uglov},
  journal= {arXiv preprint arXiv:hep-th/9508145},
  year   = {2008}
}

Comments

amslatex, 42 pages, discrepancies between amslatex 1.1 and newer versions are rectified, two references are added

The trigonometric counterpart of the Haldane Shastry Model

Abstract

Keywords

Cite

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