On the next-to-leading-order correction to the effective action in N=2 gauge theories

Abstract

I attempt to analyse the next-to-leading-order non-holomorphic contribution to the Wilsonian low-energy effective action in the four-dimensional N=2 gauge theories with matter, from the manifestly N=2 supersymmeric point of view, by using the harmonic superspace. The perturbative one-loop correction is found to be in agreement with the N=1 superfield calculations of de Wit, Grisaru and Rocek. The previously unknown coefficient in front of this non-holomorphic correction is calculated. A special attention is devoted to the N=2 superconformal gauge theories, whose one-loop non-holomorphic contribution is likely to be exact, even non-perturbatively. This leading (one-loop) non-holomorphic contribution to the LEEA of the N=2 superconformally invariant gauge field theories is calculated, and it does not vanish, similarly to the case of the N=4 super-Yang-Mills theory.

15 pages, LaTeX; changes in the abstract and in sect. 3

References in corpus (3)

• Comments on the Background Field Method in Harmonic Superspace: Non-holomorphic Corrections in N=4 SYM
• Solitons, monopoles and duality: from sine-Gordon to Seiberg-Witten
• The effective hyper-K"ahler potential in the N=2 supersymmetric QCD

Cited by in corpus (10)

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• Accelerating D-branes
• Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter
• Non-holomorphic Corrections from Threebranes in F Theory
• Thermodynamics of SU(2) N=2 supersymmetric Yang-Mills theory
• Higher Derivative Terms from Threebranes in F Theory
• Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric non-linear sigma-models
• Thermal Effects on the Low Energy N=2 SUSY Yang-Mills Theory
• On the Low-Energy Effective Action of N=2 Supersymmetric Yang-Mills Theory
• The hypermultiplet low-energy effective action, N=2 supersymmetry breaking and confinement