Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-04
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 51 pages, 5 postscript figures, uses psfig.tex. Based on lectures by H.J. Schnitzer at the Advanced School on Supersymm
Scientific paper
Methods are reviewed for computing the instanton expansion of the prepotential for N=2 Seiberg-Witten (SW) theory with non-hyperelliptic curves. These results, if compared with the instanton expansion obtained from the microscopic Lagrangian, will provide detailed tests of M-theory. We observe group-theoretic regularities of the one-instanton prepotential which allow us to "reverse engineer" a SW curve for SU(N) gauge theory with two hypermultiplets in the antisymmetric representation and $N_f\leq 3$ hypermultiplets in the fundamental representations, a result not yet available by other methods. Consistency with M-theory requires a curve of infinite order, which we identify as a decompactified version of elliptic models of the type described by Donagi and Witten, Uranga, and others. This leads us to a brief discussion of some elliptic models that relate to our work.
Ennes Isabel P.
Naculich Stephen G.
Rhedin Henric
Schnitzer Howard J.
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