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arXiv · hep-th/9911022

Tests of M-Theory from N=2 Seiberg-Witten Theory

I. P. Ennes·S. G. Naculich·H. Rhedin·H. J. Schnitzer
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Abstract

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.

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I. P. Ennes, S. G. Naculich, H. Rhedin, H. J. Schnitzer. 1999-11-16. Tests of M-Theory from N=2 Seiberg-Witten Theory. https://arxiv.org/abs/hep-th/9911022

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