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Corpus ID: 2741571

The Pokrovski-Talapov Phase Transitions and Quantum Groups

@article{Hinrichsen1992ThePP,
title={The Pokrovski-Talapov Phase Transitions and Quantum Groups},
author={Haye Hinrichsen and Vladimir Rittenberg},
journal={arXiv: High Energy Physics - Theory},
year={1992}
}

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… Expand

The Lie superalgebra sl(2/1) is quantized in its non-standard simple rod system, resulting in a two-parameter quantum superalgebra Uq1,q2(sl(2/1)). When the two parameters coincide, Uq1,q2(sl(2/1))… Expand

A two-parameter deformation of the universal algebra of osp(4/2) is carried out, yielding a Z2-graded Hopf algebra with a bijective antipode. This Hopf algebra depends on the extra parameter in both… Expand

This book is related to the following topics: A case study in finite groups; Temperley lieb algebras; Strings in an expanded universe; and Chiral splitting and unitarity of closed superstrings.