HyperKähler quotients and N=4 gauge theories in D=2

Abstract

We consider certain N=4 supersymmetric gauge theories in D=2 coupled to quaternionic matter multiplets in a minimal way. These theories admit as effective theories sigma-models on non-trivial HyperKähler manifolds obtained as HyperKähler quotients. The example of ALE manifolds is discussed. (Based on a talk given by P. Fré at the F. Gursey Memorial Conference, Istanbul, June 1994).

22 pages, Latex, no figures

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