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This paper develops a new connection between supersymmetric gauge theoriesand the Yangian. I show that a twisted, deformed version of the pure N=1supersymmetric gauge theory is controlled by the Yangian, in the same way thatChern-Simons theory is controlled by the quantum group. This result is used togive an exact calculation, in perturbation theory, of the expectation value ofa certain net of n+m Wilson operators in the deformed N=1 gauge theory. Thisexpectation value coincides with the partition function of a spin-chainintegrable lattice model on an n-by-m doubly-periodic lattice.

Supersymmetric gauge theory and the Yangian