Quantum Clifford-Hopf Algebras for Even Dimensions

Abstract

In this paper we study the quantum Clifford-Hopf algebras $\widehat{C{H}_q(D)}$ 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)

References in corpus (3)

• Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons
• Scattering and Thermodynamics of Integrable N=2 Theories
• The Hidden Quantum Group of the 8-vertex Free Fermion Model: q-Clifford Algebras

Cited by in corpus (3)

• On the solution of a supersymmetric model of correlated electrons
• Noncommutative black hole in the Finslerian spacetime
• Four State Models and Clifford Algebras