English

Quantum Clifford-Hopf Algebras for Even Dimensions

High Energy Physics - Theory 2009-10-22 v2

Abstract

In this paper we study the quantum Clifford-Hopf algebras CHq(D)^\widehat{CH_q(D)} for even dimensions DD and obtain their intertwiner RR-matrices, which are elliptic solutions to the Yang- Baxter equation. In the trigonometric limit of these new algebras we find the possibility to connect with extended supersymmetry. We also analyze the corresponding spin chain hamiltonian, which leads to Suzuki's generalized XYXY model.

Keywords

Cite

@article{arxiv.hep-th/9306099,
  title  = {Quantum Clifford-Hopf Algebras for Even Dimensions},
  author = {E. Lopez},
  journal= {arXiv preprint arXiv:hep-th/9306099},
  year   = {2009}
}

Comments

12 pages, LaTeX, IMAFF-12/93 (final version to be published, 2 uuencoded figures added)