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One-instanton predictions for non-hyperelliptic curves derived from M-theory

Isabel P. Ennes·Stephen G. Naculich·Henric Rhedin·Howard J. Schnitzer
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Abstract

One-instanton predictions are obtained from certain non-hyperelliptic Seiberg-Witten curves derived from M-theory for N=2 supersymmetric gauge theories. We consider SU(N_1) x SU(N_2) gauge theory with a hypermultiplet in the bifundamental representation together with hypermultiplets in the defining representations of SU(N_1) and SU(N_2). We also consider SU(N) gauge theory with a hypermultiplet in the symmetric or antisymmetric representation, together with hypermultiplets in the defining representation. The systematic perturbation expansion about a hyperelliptic curve together with the judicious use of an involution map for the curve of the product groups provide the principal tools of the calculations.

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Isabel P. Ennes, Stephen G. Naculich, Henric Rhedin, Howard J. Schnitzer. 2003-05-09. One-instanton predictions for non-hyperelliptic curves derived from M-theory. https://doi.org/10.1016/s0550-3213(98)00600-2

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