Quantum Clifford-Hopf Algebras for Even Dimensions
Abstract
In this paper we study the quantum Clifford-Hopf algebras CHq(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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