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Topics in Supersymmetry Breaking and Gauge/Gravity Dualities

Citation

Park, Chang-Soon (2010) Topics in Supersymmetry Breaking and Gauge/Gravity Dualities. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/9F6Q-ZT22. https://resolver.caltech.edu/CaltechTHESIS:05042010-150716614

Abstract

The thesis covers two topics in string theory and quantum field theory. First, we realize metastable vacua in various supersymmetric gauge theories. Specifically, we consider the Coulomb branch of any N = 2 supersymmetric gauge theory, and perturb it by a superpotential and engineer a metastable vacuum at a point. We also study its relation to Kahler normal coordinates and Fayet-Iliopoulos terms. Having studied the metastable construction, we apply this to general gauge mediation. We show how to compute the current correlators when the hidden sector is strongly coupled in specific examples.

Next, we consider gauge/gravity dualities. We apply dualities to the investigation of various strongly coupled field theories. In one example, we construct M-theory supergravity solutions with the nonrelativistic Schroedinger symmetry starting from the warped AdS_5 metric with N = 1 supersymmetry. We impose that the lightlike direction is compact by making it a nontrivial U(1) bundle over the compact space. In another example, we show that, in a gravity theory with a Chern-Simons coupling, the Reissner-Nordstrom black hole in anti-de Sitter space is unstable depending on the value of the Chern-Simons coupling. The analysis suggests that the final configuration is likely to be a spatially modulated phase.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:String theory, Supersymmetry, Supersymmetry breaking, AdS/CFT, Duality
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ooguri, Hirosi
Group:Caltech Theory
Thesis Committee:
  • Ooguri, Hirosi (chair)
  • Schwarz, John H.
  • Kapustin, Anton N.
  • Porter, Frank C.
Defense Date:29 March 2010
Non-Caltech Author Email:park.physics (AT) gmail.com
Record Number:CaltechTHESIS:05042010-150716614
Persistent URL:https://resolver.caltech.edu/CaltechTHESIS:05042010-150716614
DOI:10.7907/9F6Q-ZT22
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5771
Collection:CaltechTHESIS
Deposited By: Chang Soon Park
Deposited On:07 May 2010 22:04
Last Modified:08 Nov 2019 18:09

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