Quantum sln Toda field theories
L. Bonora, V. Bonservizi
Abstract
We quantize sln Toda field theories in a periodic lattice. We find the quantum exchange algebra in the diagonal monodromy (Bloch wave) basis in the case of the defining representation. In the sl3 case we extend the analysis also to the second fundamental representation. We clarify, in particular, the relation of Jimbo and Rosso's quantum R matrix with the quantum R matrix in the Bloch wave basis.
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