Citation
Bandrés Motola, Miguel Angel (2011) Superconformal ChernSimons Theories and Their String Theory Duals. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2D9D1876. https://resolver.caltech.edu/CaltechTHESIS:05242011235017396
Abstract
In this thesis, we consider two aspects of the conjectured gauge theory/string theory correspondence between threedimensional maximal supersymmetric conformal field theories, which describe the worldvolume theory of multiple M2branes in flat space, and Mtheory on AdS_{4} x S^{7}.
First we study three classes of N = 6,8 superconformal ChernSimons theories that are related to the gauge theory side of the correspondence: the BaggerLambert (BL) theories based on 3algebras, the Lorentzian signature 3algebra theories, and the AharonyBergmanJafferisMaldacena (ABJM) theories. We verify the superconformal symmetry of the BL theory, prove that it is parity conserving and conjecture the (by now proven) uniqueness of its SO(4) realization. We then consider the Lorentzian signature 3algebra theories and show that although the ghosts can be removed to ensure unitarity by gauging certain global symmetries, the resulting theories spontaneously break the conformal symmetry and reduce to maximally supersymmetric threedimensional YangMills theories. After this, we recast the ABJM theory in a form for which the SU(4) Rsymmetry of the action is manifest; then we use this form to verify in complete detail the OSp(64) superconformal symmetry of the theory and to express the scalar potential as a sum of squares.
Next, we study the oneloop correction to the energy of a pointparticle and circular string solutions to type IIA string theory on AdS_{4} x CP^{3}. We compute the spectrum of fluctuations for each of these solutions using two techniques, known as the algebraic curve approach and the worldsheet approach. We propose a new prescription for computing the oneloop corrections that gives welldefined results and agrees with the predictions of the allloop Bethe ansatz for our pointparticle and circular string solutions as well as for previous foldedspinning string solutions.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  String theory; ADS/CFT; ChernSimons; superconfomal theories  
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:  16 May 2011  
Record Number:  CaltechTHESIS:05242011235017396  
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:05242011235017396  
DOI:  10.7907/2D9D1876  
ORCID: 
 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  6431  
Collection:  CaltechTHESIS  
Deposited By:  Miguel Bandres Motola  
Deposited On:  27 May 2011 22:08  
Last Modified:  07 Nov 2019 00:39 
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