### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 17-35 |

Number of pages | 19 |

Journal | Nuclear Physics B |

Volume | 798 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jul 21 2008 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*798*(1-2), 17-35. https://doi.org/10.1016/j.nuclphysb.2008.01.014

**Metastable vacua in perturbed Seiberg-Witten theories. Part 2 : Fayet-Iliopoulos terms and Kähler normal coordinates.** / Marsano, Joseph; Ooguri, Hirosi; Okochi, Yutaka; Park, Chang Soon.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 798, no. 1-2, pp. 17-35. https://doi.org/10.1016/j.nuclphysb.2008.01.014

}

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 - Okochi, Yutaka

AU - Park, Chang Soon

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.

UR - http://www.scopus.com/inward/record.url?scp=41849104713&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41849104713&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2008.01.014

DO - 10.1016/j.nuclphysb.2008.01.014

M3 - Article

VL - 798

SP - 17

EP - 35

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -