Elliptic models and M-theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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52 pages, latex, one eps figure, uses psfig.tex; revised version: typos corrected and references added

Scientific paper

10.1016/S0550-3213(00)00131-0

We give a unified analysis of four-dimensional elliptic models with N=2 supersymmetry and a simple gauge group, and their relation to M-theory. Explicit calculations of the Seiberg-Witten curves and the resulting one-instanton prepotential are presented. The remarkable regularities that emerge are emphasized. In addition, we calculate the prepotential in the Coulomb phase of the (asymptotically-free) Sp(2N) gauge theory with N_f fundamental hypermultiplets of arbitrary mass.

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