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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 | Affiliation: | Brandeis Univ.), Stephen G. Naculich (Bowdoin College), Henric Rhedin (Brandeis Univ.), and Howard J. Schnitzer (Brandeis Univ. and Harvard Univ. | 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. | Source: | arXiv, hep-th/9804151 | Services: | Forum | Review | PDF | Favorites |
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