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High Energy Physics - Theory

arXiv:hep-th/0404125 (hep-th)
[Submitted on 19 Apr 2004 (v1), last revised 10 May 2004 (this version, v3)]

Title:A note on instanton counting for N=2 gauge theories with classical gauge groups

Authors:Marcos Marino, Niclas Wyllard
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Abstract: We study the prepotential of N=2 gauge theories using the instanton counting techniques introduced by Nekrasov. For the SO theories without matter we find a closed expression for the full prepotential and its string theory gravitational corrections. For the more subtle case of Sp theories without matter we discuss general features and compute the prepotential up to instanton number three. We also briefly discuss SU theories with matter in the symmetric and antisymmetric representations. We check all our results against the predictions of the corresponding Seiberg-Witten geometries.
Comments: 24 pages, LaTeX. v2: refs added. v3: typos corrected
Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)
Report number: CERN-PH-TH/2004-068
Cite as: arXiv:hep-th/0404125
  (or arXiv:hep-th/0404125v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0404125
Journal reference: JHEP 0405 (2004) 021
Related DOI: https://doi.org/10.1088/1126-6708/2004/05/021

Submission history

From: Niclas Wyllard [view email]
[v1] Mon, 19 Apr 2004 12:55:58 UTC (25 KB)
[v2] Fri, 23 Apr 2004 14:21:15 UTC (25 KB)
[v3] Mon, 10 May 2004 16:33:32 UTC (25 KB)
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