A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field

Details A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field

1991-10-30

arxiv.org/abs/hep-th/9110074v1

Phys.Lett. B275 (1992) 350-354

Physics

High Energy Physics

High Energy Physics - Theory

7

Scientific paper

10.1016/0370-2693(92)91601-5

We show that the XY quantum chain in a magnetic field is invariant under a
two parameter deformation of the SU(1/1) superalgebra. One is led to an
extension of the braid group and the Hecke algebra which reduce to the known
ones when the two parameter coincide. The physical significance of the two
parameters is discussed.

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