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Four State Models and Clifford Algebras

Haye Hinrichsen
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Abstract

With appropriate boundary conditions the anisotropic $XY$ chain in a magnetic field is known to be invariant under quantum group transformations. We generalize this model defining a class of integrable chains with several fermionic degrees of freedom per site. In order to maintain the quantum group symmetry a general condition on the parameters of these systems is derived. It is shown that the corresponding quantum algebra is a multi-parameter deformation of the Clifford algebra. Discussing a special physical example we observe a new type of zero modes.

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Haye Hinrichsen. 1994-04-13. Four State Models and Clifford Algebras. https://doi.org/10.1088/0305-4470%2F27%2F16%2F008

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