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Metastable Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos Terms and Kähler Normal Coordinates

Marsano, Joseph and Ooguri, Hirosi and Ookouchi, Yutaka and Park, Chang-Soon (2007) Metastable Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos Terms and Kähler Normal Coordinates. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20161219-090406382

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Abstract

We show that the perturbation of an N=2 supersymmetric gauge theory by a superpotential linear in the Kahler normal coordinates of the Coulomb branch, discussed in arXiv:0704.3613, 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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/0712.3305arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
Additional 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.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
John A. McCone Postdoctoral FellowshipUNSPECIFIED
NSFOISE-0403366
University of TokyoUNSPECIFIED
Kavli FoundationUNSPECIFIED
Japan Society for the Promotion of Science (JSPS)UNSPECIFIED
Samsung ScholarshipUNSPECIFIED
Record Number:CaltechAUTHORS:20161219-090406382
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161219-090406382
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72926
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Dec 2016 17:26
Last Modified:03 Oct 2019 16:22

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