Quantum Loop Modules and Quantum Spin Chains
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چکیده
We construct level-0 modules of the quantum affine algebra Uq ( ŝl2 ) , as the q-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case of highest weight modules. We also consider the role of loop modules in the recent scheme for diagonalising certain quantum spin chains using their Uq ( ŝl2 ) symmetry. In memory of Rolf Adams. MRR2/93 ENSLAPP-L-419/93 May 1993 ∗ URA 1436 du CNRS, associée à l’Ecole Normale Supérieure de Lyon et au laboratoire d’Annecy-le-Vieux de Physique des Particules. Quantum Loop Modules and Quantum Spin Chains 1
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تاریخ انتشار 1993