Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory

Details Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory Vacuum structure of spontaneously broken N=2 supersymmetric gauge theory

2001-03-20

arxiv.org/abs/hep-th/0103157v2

Phys.Rev. D64 (2001) 025024

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, revtex, 14 figures, some typographical errors are corrected. To be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.64.025024

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.

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