Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory
Abstract
We analyze the vacuum structure of spontaneously broken N=2 supersymmetric gauge theory with the Fayet-Iliopoulos term. Our theory is based on the gauge group SU(2) \times U(1) with N_f=1,2 massless quark hypermultiplets having the same U(1) charges. In the classical potential, there are degenerate vacua even in the absence of supersymmetry. It is shown that this vacuum degeneracy is smoothed out, once quantum corrections are taken into account. In N_f=1 case, the effective potential is found to be so-called runaway type, and there is neither well-defined vacuum nor local minimum. On the other hand, in N_f=2 case, while there is also the runaway direction in the effective potential, we find the possibility that there appears the local minimum with broken supersymmetry at the degenerate dyon point.
Cite
@article{arxiv.hep-th/0103157,
title = {Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory},
author = {Masato Arai and Nobuchika Okada},
journal= {arXiv preprint arXiv:hep-th/0103157},
year = {2009}
}
Comments
27 pages, revtex, 14 figures, some typographical errors are corrected. To be published in Phys. Rev. D