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One Instanton Predictions of a Seiberg-Witten curve from M-theory: the Symmetric Representation of SU(N)

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

We consider N=2 supersymmetric Yang-Mills theories in four dimensions with gauge group SU(N) for N larger than two. Using the cubic curve for a matter hypermultiplet transforming in the symmetric representation, obtained from M-theory by Landsteiner and Lopez, we calculate the prepotential up to the one instanton correction. We treat the curve to be approximately hyperelliptic and perform a perturbation expansion for the Seiberg-Witten differential to get the one instanton contribution. We find that it reproduces the correct result for one-loop, and we obtain the prediction for that curve for the one instanton correction term.

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Isabel P. Ennes, Stephen G. Naculich, Henric Rhedin, Howard J. Schnitzer. 1998-04-23. One Instanton Predictions of a Seiberg-Witten curve from M-theory: the Symmetric Representation of SU(N). https://doi.org/10.1142/s0217751x99000166

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