Classical and Quantum Nonultralocal Systems on the Lattice
arXiv:hep-th/9509029
Abstract
We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matrix . A nonultralocal quantum algebras on the lattices for these systems are constructed.For some class of such algebras an ultralocalization procedure is proposed.The technique of the modified Bethe-Anzatz for these algebras is developed.This technique is applied to the nonlinear sigma model problem.
33 pp. Latex. The file is resubmitted since it was spoiled during transmission