Quantum Chains with Uq(SL(2)) Symmetry and Unrestricted Representations
Daniel Arnaudon, Vladimir Rittenberg
Abstract
We consider two-state (q2=-1) and three-state (q3=1) one-dimensional quantum spin chains with Uq(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.
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