English

Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons

High Energy Physics - Theory 2016-09-06 v2

Abstract

We consider N=2 SUSY QCD with gauge group SU(2) and N_f flavours of matter with nonzero mass. Using the method of the instanton-induced effective vertex we calculate higher derivative corrections to the Seiberg-Witten result in the momentum expansion of the low energy effective Lagrangian in various regions of the modular space. Then we focus on a certain higher derivative operator on the Higgs branch. We show that the singular behavior of this operator comes from values of mass of matter at which charge singularity on the Coulomb branch collides with the monopole or dyon one. Given the behavior of this operator at weak coupling coming from instantons as well as its behavior near points of colliding singularities we find the exact solution for this operator.

Keywords

Cite

@article{arxiv.hep-th/9705181,
  title  = {Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons},
  author = {Alexei Yung},
  journal= {arXiv preprint arXiv:hep-th/9705181},
  year   = {2016}
}

Comments

33 pages, LATEX file. Final version to appear in Nuclear Physics B. Misprints corrected, exact solution in section 5 is slightly modified