Multi instanton calculus in N=2 supersymmetric gauge theory. 2. Coupling to matter
Jul, 199639 pages
Published in:
- Phys.Rev.D 54 (1996) 7832-7848
e-Print:
- hep-th/9607202 [hep-th]
Report number:
- SWAT-125,
- DTP-96-72,
- DTP-9672
Citations per year
Abstract:
We further discuss the N=2 superinstantons in SU(2) gauge theory, obtained from the general self-dual solutions of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (ADHM). We realize the N=2 supersymmetry algebra as actions on the superinstanton moduli. This allows us to recast in concise superfield notation our previously obtained expression for the exact classical interaction between n ADHM superinstantons mediated by the adjoint Higgs bosons, and moreover, to incorporate N_F flavors of hypermultiplets. We perform explicit 1- and 2-instanton checks of the Seiberg-Witten prepotentials for all N_F and arbitrary hypermultiplet masses. Our results for the low-energy couplings are all in precise agreement with the predictions of Seiberg and Witten except for N_F=4, where we find a finite renormalization of the coupling which is absent in the proposed solution.Note:
- 40 pages, uses harvmac.tex
- 11.15.Tk
- 11.30.Pb
- gauge field theory: SU(2)
- supersymmetry
- field theory: instanton
- charge: topological
- potential: prepotential
- renormalization
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