Calculating the Prepotential by Localization on the Moduli Space of Instantons

Details Calculating the Prepotential by Localization on the Moduli Space of Instantons Calculating the Prepotential by Localization on the Moduli Space of Instantons

2002-01-14

arxiv.org/abs/hep-th/0201075v3

JHEP 0203 (2002) 038

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, JHEP.cls, more references and extra discussion on N_F=2N case

Scientific paper

10.1088/1126-6708/2002/03/038

We describe a new technique for calculating instanton effects in supersymmetric gauge theories applicable on the Higgs or Coulomb branches. In these situations the instantons are constrained and a potential is generated on the instanton moduli space. Due to existence of a nilpotent fermionic symmetry the resulting integral over the instanton moduli space localizes on the critical points of the potential. Using this technology we calculate the one- and two-instanton contributions to the prepotential of SU(N) gauge theory with N=2 supersymmetry and show how the localization approach yields the prediction extracted from the Seiberg-Witten curve. The technique appears to extend to arbitrary instanton number in a tractable way.

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