Citation
Park, Chan Youn (2014) Branes and Supersymmetric Quantum Field Theories. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Y1VHE821. http://resolver.caltech.edu/CaltechTHESIS:01242014104001899
Abstract
Since the discovery of Dbranes as nonperturbative, dynamic objects in string theory, various configurations of branes in type IIA/B string theory and Mtheory have been considered to study their lowenergy dynamics described by supersymmetric quantum field theories.
One example of such a construction is based on the description of SeibergWitten curves of fourdimensional N = 2 supersymmetric gauge theories as branes in type IIA string theory and Mtheory. This enables us to study the gauge theories in stronglycoupled regimes. Spectral networks are another tool for utilizing branes to study nonperturbative regimes of two and fourdimensional supersymmetric theories. Using spectral networks of a SeibergWitten theory we can find its BPS spectrum, which is protected from quantum corrections by supersymmetry, and also the BPS spectrum of a related twodimensional N = (2,2) theory whose (twisted) superpotential is determined by the SeibergWitten curve. When we don’t know the perturbative description of such a theory, its spectrum obtained via spectral networks is a useful piece of information. In this thesis we illustrate these ideas with examples of the use of SeibergWitten curves and spectral networks to understand various two and fourdimensional supersymmetric theories.
First, we examine how the geometry of a SeibergWitten curve serves as a useful tool for identifying various limits of the parameters of the SeibergWitten theory, including ArgyresSeiberg duality and ArgyresDouglas fixed points. Next, we consider the lowenergy limit of a twodimensional N = (2, 2) supersymmetric theory from an Mtheory brane configuration whose (twisted) superpotential is determined by the geometry of the branes. We show that, when the twodimensional theory flows to its infrared fixed point, particular cases realize KazamaSuzuki coset models. We also study the BPS spectrum of an ArgyresDouglas type superconformal field theory on the Coulomb branch by using its spectral networks. We provide strong evidence of the equivalence of superconformal field theories from different stringtheoretic constructions by comparing their BPS spectra.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  string theory, Mtheory, brane, SeibergWitten theory, spectral network 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Group:  Caltech Theory 
Thesis Committee: 

Defense Date:  19 November 2013 
Record Number:  CaltechTHESIS:01242014104001899 
Persistent URL:  http://resolver.caltech.edu/CaltechTHESIS:01242014104001899 
DOI:  10.7907/Y1VHE821 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  8059 
Collection:  CaltechTHESIS 
Deposited By:  Chan Youn Park 
Deposited On:  26 Feb 2014 18:51 
Last Modified:  11 Apr 2019 17:47 
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