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GENERALIZATIONS OF HOLOGRAPHIC RENORMALIZATION GROUP
FLOWS
by
Minwoo Suh
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(PHYSICS)
August 2012
Copyright 2012 Minwoo Suh
Object Description
| Title | Generalizations of holographic renormalization group flows |
| Author | Suh, Minwoo |
| Author email | minsuh@usc.edu;minsuh@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Physics |
| School | College of Letters, Arts And Sciences |
| Date defended/completed | 2012-03-21 |
| Date submitted | 2012-07-15 |
| Date approved | 2012-07-15 |
| Restricted until | 2012-07-15 |
| Date published | 2012-07-15 |
| Advisor (committee chair) | Pilch, Krzysztof |
| Advisor (committee member) |
Warner, Nicholas P. Bars, Itzhak Shakeshaft, Robin Malikov, Fedor |
| Abstract | The AdS/CFT correspondence conjectures the duality between type IIB supergravity on AdS_5 x S^5 and N = 4 super Yang-Mills theory. Mass deformations of N = 4 super Yang-Mills theory drive renormalization group (RG) flows. Holographic RG flows are described by domain wall solutions interpolating between AdS_5 geometries at critical points of N = 8 gauged supergravity in five dimensions. In this thesis we study two directions of generalizations of holographic RG flows. ❧ First, motivated by the Janus solutions, we study holographic RG flows with dilaton and axion fields. To be specific, we consider the SU(3)-invariant flow with dilaton and axion fields, and discover the known supersymmetric Janus solution in five dimensions. Then, by employing the lift ansatz, we uplift the supersymmetric Janus solution of the SU(3)-invariant truncation with dilaton and axion fields to a solution of type IIB supergravity. We identify the uplifted solution to be one of the known supersymmetric Janus solution in type IIB supergravity. Furthermore, we consider the SU(2)xU(1)-invariant N = 2 and N = 1 supersymmetric flows with dilaton and axion fields. ❧ Second, motivated by the development in AdS/CMT, we study holographic RG flows with gauge fields. We consider the SU(3)-invariant flow with electric potentials or magnetic fields, and find first-order systems of flow equations for each case. |
| Keyword | string theory; supergravity; the AdS/CFT correspondence |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m |
| Rights | Suh, Minwoo |
| Access conditions | The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the author, as the original true and official version of the work, but does not grant the reader permission to use the work if the desired use is covered by copyright. It is the author, as rights holder, who must provide use permission if such use is covered by copyright. The original signature page accompanying the original submission of the work to the USC Libraries is retained by the USC Libraries and a copy of it may be obtained by authorized requesters contacting the repository e-mail address given. |
| Repository name | University of Southern California Digital Library |
| Repository address | USC Digital Library, University of Southern California, University Park Campus MC 7002, 106 University Village, Los Angeles, California 90089-7002, USA |
| Repository email | cisadmin@usc.edu |
| Archival file | uscthesesreloadpub_Volume4/etd-SuhMinwoo-955.pdf |
Description
| Title | Page 1 |
| Full text | GENERALIZATIONS OF HOLOGRAPHIC RENORMALIZATION GROUP FLOWS by Minwoo Suh A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (PHYSICS) August 2012 Copyright 2012 Minwoo Suh |
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