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Topics in supersymmetric gauge theories.

Wright, Jason Daniel.

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Topics in supersymmetric gauge theories.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Topics in supersymmetric gauge theories./
Author:	Wright, Jason Daniel.
Description:	171 p.
Notes:	Adviser: Kenneth A. Intriligator.
Contained By:	Dissertation Abstracts International68-04B.
Subject:	Physics, Theory. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3259360

Topics in supersymmetric gauge theories.
Wright, Jason Daniel.

Topics in supersymmetric gauge theories. - 171 p.

Adviser: Kenneth A. Intriligator.

Thesis (Ph.D.)--University of California, San Diego, 2007.

This dissertation consists of two parts, each of which improves our understanding of supersymmetric field theories. In the first part I use the technique of "amaximization" to study the RG flows of these theories. In doing so I find evidence for the strongest form of Cardy's a-theorem. In doing so we move closer to a proof of Cardy's a-theorem by the removal of a loophole in the argument for the theorem. I also examine the remaining loopholes in the argument. I then apply a-maximization in the case where the superconformal field theory has a product gauge group. In these situations I find that the dynamics of one of the gauge groups can dramatically alter the behavior of the other. I give a detailed analysis of the possible RG flows and fixed points.Subjects--Topical Terms:

1019422
Physics, Theory.

Topics in supersymmetric gauge theories.
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005 20110704
008 110704s2007 ||||||||||||||||| ||eng d
035 $a (UMI)AAI3259360
035 $a AAI3259360
040 $a UMI $c UMI
100 1 $a Wright, Jason Daniel. $3 1281737
245 1 0 $a Topics in supersymmetric gauge theories.
300 $a 171 p.
500 $a Adviser: Kenneth A. Intriligator.
500 $a Source: Dissertation Abstracts International, Volume: 68-04, Section: B, page: 2429.
502 $a Thesis (Ph.D.)--University of California, San Diego, 2007.
520 $a This dissertation consists of two parts, each of which improves our understanding of supersymmetric field theories. In the first part I use the technique of "amaximization" to study the RG flows of these theories. In doing so I find evidence for the strongest form of Cardy's a-theorem. In doing so we move closer to a proof of Cardy's a-theorem by the removal of a loophole in the argument for the theorem. I also examine the remaining loopholes in the argument. I then apply a-maximization in the case where the superconformal field theory has a product gauge group. In these situations I find that the dynamics of one of the gauge groups can dramatically alter the behavior of the other. I give a detailed analysis of the possible RG flows and fixed points.
520 $a The focus of the second part of the dissertation is on extending and furthering our understanding of a-maximization. I construct an alternative to a-maximization, called tauRR-minimization, which also determines the anomalous dimensions of chiral operators. This technique is not as powerful as a-maximization because tauRR receives quantum corrections. This method is extendable beyond four dimensions. I find the geometrical analog of a-maximization, Z-minimization, gives the same results as tauRR-minimization, and show how the two techniques are related. This allows for the computation of exact anomalous dimensions, in theories with known AdS/CFT duals, outside of four dimensions.
590 $a School code: 0033.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a University of California, San Diego. $3 1018093
773 0 $t Dissertation Abstracts International $g 68-04B.
790 $a 0033
790 1 0 $a Intriligator, Kenneth A., $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3259360