Quantum Clifford-Hopf Algebras for Even Dimensions

Details Quantum Clifford-Hopf Algebras for Even Dimensions Quantum Clifford-Hopf Algebras for Even Dimensions

1993-06-21

arxiv.org/abs/hep-th/9306099v2

J.Phys. A27 (1994) 845-854

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/27/3/025

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.

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