Metastable vacua in perturbed Seiberg-Witten theories. Part 2: Fayet-Iliopoulos terms and Kähler normal coordinates

Joseph Marsano, Hirosi Ooguri, Yutaka Ookouchi, Chang Soon Park

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

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 languageEnglish
Pages (from-to)17-35
Number of pages19
JournalNuclear Physics B
Volume798
Issue number1-2
DOIs
Publication statusPublished - Jul 21 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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