Quantum Clifford-Hopf Algebras for Even Dimensions
arXiv:hep-th/9306099 · doi:10.1088/0305-4470/27/3/025
Abstract
In this paper we study the quantum Clifford-Hopf algebras $\widehat{CH_q(D)}$ for even dimensions $D$ and obtain their intertwiner $R-$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 $XY$ model.
12 pages, LaTeX, IMAFF-12/93 (final version to be published, 2 uuencoded figures added)