TY - JOUR

T1 - Metastable vacua in perturbed Seiberg-Witten theories. Part 2

T2 - Fayet-Iliopoulos terms and Kähler normal coordinates

AU - Marsano, Joseph

AU - Ooguri, Hirosi

AU - Ookouchi, Yutaka

AU - Park, Chang Soon

N1 - Funding Information:
We would like to thank S. Ferrara, S. Kachru, S. Ketov, M. Nitta, M. Shigemori, and S. Trivedi for discussions. This research is supported in part by DOE grant DE-FG03-92-ER40701. J.M. is also supported by a John A. McCone postdoctoral fellowship. The research of H.O. is also supported in part by the NSF grant OISE-0403366, by the 21st Century COE Program at the University of Tokyo, and by the Kavli Foundation. Y.O. is also supported in part by the JSPS Fellowship for Research Abroad. C.P. is also supported in part by Samsung Scholarship. H.O. thanks the Aspen Center for Physics for the hospitality at the initial stage of this work.

PY - 2008/7/21

Y1 - 2008/7/21

N2 - We show that the perturbation of an N = 2 supersymmetric gauge theory by a superpotential linear in the Kähler normal coordinates of the Coulomb branch, discussed in [H. Ooguri, Y. Ookouchi, C.S. Park, Metastable vacua in perturbed Seiberg-Witten theories, arXiv: 0704.3613 [hep-th]], 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.

AB - We show that the perturbation of an N = 2 supersymmetric gauge theory by a superpotential linear in the Kähler normal coordinates of the Coulomb branch, discussed in [H. Ooguri, Y. Ookouchi, C.S. Park, Metastable vacua in perturbed Seiberg-Witten theories, arXiv: 0704.3613 [hep-th]], 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.

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U2 - 10.1016/j.nuclphysb.2008.01.014

DO - 10.1016/j.nuclphysb.2008.01.014

M3 - Article

AN - SCOPUS:41849104713

SN - 0550-3213

VL - 798

SP - 17

EP - 35

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -