Four-state models and Clifford algebras

  title={Four-state models and Clifford algebras},
  author={Haye Hinrichsen},
  journal={Journal of Physics A},
  • H. Hinrichsen
  • Published 13 April 1994
  • Mathematics, Physics
  • Journal of Physics A
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… 
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