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

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

1998-04-23

arxiv.org/abs/hep-th/9804151v1

Int.J.Mod.Phys. A14 (1999) 301-321

Physics

High Energy Physics

High Energy Physics - Theory

31 p., plain latex

Scientific paper

10.1142/S0217751X99000166

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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