Quantum group invariance in quantum sphere valued statistical models

A one-dimensional statistical model with variables taking values in the quantum sphere is presented. Quantum group invariance is used as the guiding force in this construction. The finite dimensional representations of the quantum sphere lead to deformations of the higher-spin XXX quantum hamiltonia...

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Bibliographic Details
Published in:Physics letters. B 1992-02, Vol.276 (4), p.465-471
Main Author: Egusquiza, I.L.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:A one-dimensional statistical model with variables taking values in the quantum sphere is presented. Quantum group invariance is used as the guiding force in this construction. The finite dimensional representations of the quantum sphere lead to deformations of the higher-spin XXX quantum hamiltonian, through a vertex model transfer matrix construction.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(92)91669-Z