M and F-Theory Instantons, N=1 Supersymmetry and Fractional Topological Charges

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file. 11 pages. Typos corrected. Section on QCD has been rewritten, clarifying some points, and a reference has been add

Scientific paper

10.1142/S0217751X97002747

We analize instanton generated superpotentials for three dimensional N=2 supersymmetric gauge theories obtained by compactifying on S^1 N=1 four dimensional theories. In the N_f=1 case, we find that the vacua in the decompactification limit is given by the singular points of the Coulomb branch of the N=2 four dimensional theory (we also consider the massive case). The decompactification limit of the superpotential for pure gauge theories without chiral matter is interpreted in terms of `t Hooft's fractional instanton amplitudes.

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