Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-20
Nucl.Phys.B798:17-35,2008
Physics
High Energy Physics
High Energy Physics - Theory
25 pages
Scientific paper
10.1016/j.nuclphysb.2008.01.014
We show that the perturbation of an N=2 supersymmetric gauge theory by a superpotential linear in the Kahler normal coordinates of the Coulomb branch, discussed in arXiv:0704.3613, is equivalent to the perturbation by Fayet-Iliopoulos terms. It follows that the would-be meta-stable vacuum at the origin of the normal coordinates in fact preserves N=1 supersymmetry unless the superpotential is truncated to a finite-degree polynomial of the adjoint scalar fields. We examine the criteria for supersymmetry breaking under a perturbation by Fayet-Iliopoulos terms and present a general classification of non-supersymmetric critical points. In some explicit examples, we are also able to study local stability of these points and demonstrate that, if the perturbation is chosen appropriately, they indeed correspond to supersymmetry-breaking vacua. Relations of these constructions to flux compactifications and geometric meta-stability are also discussed.
Marsano Joseph
Ooguri Hirosi
Ookouchi Yutaka
Park Chang-Soon
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