INTEGRABLE STRUCTURES IN SUPERSYMMETRIC GAUGE AND STRING THEORY

The effective action of N = 2 Yang-Mills theory with adjoint matter is shown to be governed by an integrable spin model with spectral parame ter on an elliptic curve. We sketch a route to deriving this effective dynamics from the underlying Yang-Mills theory. Natural generalizatio ns of this structure to all N = 2 models, and to string theory, are su ggested.