Infinite Quantum Group Symmetry in 2d Quantum Field Theory

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I describe how integrable quantum field theories in 2 spacetime dimensions are characterized by infinite dimensional quantum group symmetries, namely the q-deformations of affine Lie algebras, and their Yangian limit. These symmetries can provide a new non-perturbative formulation of the theories.
15 pages. (Invited talk at the XXth International Conference on Differential Geometric Methods in Theoretical Physics, New York City, June 1991.)

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