The Pokrovski-Talapov Phase Transitions and Quantum Groups

Details The Pokrovski-Talapov Phase Transitions and Quantum Groups The Pokrovski-Talapov Phase Transitions and Quantum Groups

1992-02-24

arxiv.org/abs/hep-th/9202082v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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 algebras which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed. When both are equal to one, one gets a Pokrovski-Talapov phase transition. We also show that the representation theory of the quantum superalgebras indicates how to take the appropriate thermodynamical limits.

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