Quantum Chains with U_q(SL(2)) Symmetry and Unrestricted Representations

Abstract

We consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.

9 pages, minor TeXnical revision to allow automatic TeXing

References in corpus (4)

• Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
• A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
• Composition of Kinetic Momenta: The U_q(sl(2)) case
• New Integrable Deformations of Higher Spin Heisenberg-Ising Chains

Cited by in corpus (6)

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• The six-vertex model at roots of unity and some highest weight representations of the sl(2) loop algebra
• Quantum Chains with $G{L}_q(2)$ Symmetry
• Fractional Quantum Hall Excitations as RdTS Highest Weight State Representations
• Dipper-Donkin algebra as global symmetry of quantum chains