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Flux compactifications, dual gauge theories and supersymmetry breaking
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Text
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Title
Flux compactifications, dual gauge theories and supersymmetry breaking
Identifier
ETD_1623
Identifier
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051417
Language
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eng
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theses
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Physics and Astronomy
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(authority = ETD-LCSH)
Topic
Compactifications
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(authority = ETD-LCSH)
Topic
Superstring theories
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(authority = ETD-LCSH)
Topic
Field theory (Physics)
Subject
(ID = SBJ-1);
(authority = ETD-LCSH)
Topic
Supersymmetry
Abstract
The nonholomorphic sector of four dimensional theories with N=1 supersymmetry that arises from string compactifications is analyzed, and new models of supersymmetry breaking (both in string and field theory) are presented. The dissertation combines three complementary viewpoints.
First, space-time effects in 4d supergravity are studied from type IIB string theory compactified on warped Calabi-Yau manifolds with fluxes. The vacuum structure of supersymmetric flux compactifications is well understood and our aim is to extend this to include space-time dependence in the presence of nontrivial warping. Going beyond the static limit is required in order to compute kinetic terms and masses. We develop formalism for identifying the microscopic 10d fluctuations that give rise to fields in the low energy 4d theory, and we present a general formula for their kinetic terms. As an application, the effective theories for the universal K?hler modulus and the complex modulus of the warped deformed conifold are determined. The full effective action for warped compactifications is calculated to quadratic order, including both 4d zero modes and their light Kaluza-Klein excitations.
Next, using gauge/gravity dualities, we consider the previous results from the gauge theory side. The focus is on the warped deformed conifold, which is dual to the Klebanov-Strassler gauge theory. In the infrared it reduces to four dimensional pure super Yang-Mills, corresponding to D5 branes in the resolved conifold. The closed string analysis reveals a new term in the K?hler potential for the complex modulus, which has important effects on the low energy theory. It is suggested that this term has a natural interpretation in the dual gauge theory, in terms of the composite nature of the gaugino condensate.
Finally, new models of supersymmetry breaking are developed. From the string theory side, we analyze supersymmetry breaking by anti-self-dual flux in the deformed conifold. The theory develops a parametrically small scale of supersymmetry breaking, once warp corrections to the K?hler potential are included. In the field theory side, we construct a model of metastable supersymmetry breaking in SQCD where all the relevant parameters generated dynamically. It is argued that it is possible to balance non-perturbative effects against perturbative corrections. Furthermore, metastable vacua in SQCD with multitrace deformations are explored, with the aim of obtaining an acceptable phenomenology.
First, space-time effects in 4d supergravity are studied from type IIB string theory compactified on warped Calabi-Yau manifolds with fluxes. The vacuum structure of supersymmetric flux compactifications is well understood and our aim is to extend this to include space-time dependence in the presence of nontrivial warping. Going beyond the static limit is required in order to compute kinetic terms and masses. We develop formalism for identifying the microscopic 10d fluctuations that give rise to fields in the low energy 4d theory, and we present a general formula for their kinetic terms. As an application, the effective theories for the universal K?hler modulus and the complex modulus of the warped deformed conifold are determined. The full effective action for warped compactifications is calculated to quadratic order, including both 4d zero modes and their light Kaluza-Klein excitations.
Next, using gauge/gravity dualities, we consider the previous results from the gauge theory side. The focus is on the warped deformed conifold, which is dual to the Klebanov-Strassler gauge theory. In the infrared it reduces to four dimensional pure super Yang-Mills, corresponding to D5 branes in the resolved conifold. The closed string analysis reveals a new term in the K?hler potential for the complex modulus, which has important effects on the low energy theory. It is suggested that this term has a natural interpretation in the dual gauge theory, in terms of the composite nature of the gaugino condensate.
Finally, new models of supersymmetry breaking are developed. From the string theory side, we analyze supersymmetry breaking by anti-self-dual flux in the deformed conifold. The theory develops a parametrically small scale of supersymmetry breaking, once warp corrections to the K?hler potential are included. In the field theory side, we construct a model of metastable supersymmetry breaking in SQCD where all the relevant parameters generated dynamically. It is argued that it is possible to balance non-perturbative effects against perturbative corrections. Furthermore, metastable vacua in SQCD with multitrace deformations are explored, with the aim of obtaining an acceptable phenomenology.
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electronic resource
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x, 174 p. : ill.
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Note
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Ph.D.
Note
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Includes bibliographical references (p. 165-172)
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by Gonzalo Torroba
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Torroba
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Gonzalo
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1980
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Gonzalo Torroba
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Douglas
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Michael
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chair
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Advisory Committee
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Michael R Douglas
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Diaconescu
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Duiliu
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internal member
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Duiliu E Diaconescu
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Somalwar
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Sunil
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Sunil Somalwar
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Friedan
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Daniel
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Daniel Friedan
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Maldacena
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Juan
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Advisory Committee
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Juan M Maldacena
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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2009
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2009-05
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xx
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NjNbRU
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Rutgers University Electronic Theses and Dissertations
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ETD
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Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
Identifier
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doi:10.7282/T3KW5G75
Genre
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ETD doctoral
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The author owns the copyright to this work.
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Copyright protected
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Open
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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