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26 April 2024
 
  » arxiv » hep-th/9804151

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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 ;
Date 23 Apr 1998
Journal Int.J.Mod.Phys. A14 (1999) 301-321
Subject hep-th
AffiliationBrandeis Univ.), Stephen G. Naculich (Bowdoin College), Henric Rhedin (Brandeis Univ.), and Howard J. Schnitzer (Brandeis Univ. and Harvard Univ.
AbstractWe 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.
Source arXiv, hep-th/9804151
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