Meyer, René (2009): Holography in External Fields and in Time Dependent Backgrounds. Dissertation, LMU München: Faculty of Physics 

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Abstract
Holographic models, i.e. theories describing higherdimensional gravitational physics in terms of lowerdimensional models without gravitation and vice versa, come in two guises in string theory: The AdS/CFTCorrespondence reformulates strongly coupled nonabelian field theories in terms of weakly coupled gravity theories on Antide Sitter spacetimes, thus allowing studies of strongly coupled gauge theory dynamics. On the other hand, elevendimensional quantum gravity (Mtheory) can be reformulated in terms of matrix models, field theories of matrixvalued degrees of freedom in 0+1 dimensions. This thesis is concerned with both aspects of holography in string theory: In chapter 3, a way of holographically introducing constant electric and magnetic background fields in the D3D7 model of holographic quarks is laid out. Magnetic background fields are found to induce spontaneous chiral symmetry breaking, while electric fields induce a vacuum instability which can be interpreted in terms of Schwinger pair production of quarkantiquark pairs. Chapter 4 of this thesis is concerned with the introduction of holographic FayetIliopoulos terms in the D3D7 model, which lead to spontaneous breaking of supersymmetry and gauge symmetry. The holographic dual of the N=2 FayetIliopoulos term, a particular mode of the KalbRamond field, is identified. Chapter 5 of this thesis is concerned with matrix models in the FriedmannRobertsonWalker universe: A bosonic matrix model in this particular background is derived for a general scale factor, and the emergence of spacetime away from cosmological singularities is shown by a semiclassical argument. An indepth introduction into string theory, holography, and the AdS/CFT correspondence can be found in chapter 2, while chapter 1 and 6 respectively contain a general introduction and a discussion of the results of this thesis.
Item Type:  Thesis (Dissertation, LMU Munich) 

Keywords:  String theory, AdS/CFT correspondence, Holography, M theory, Matrix Models 
Subjects:  600 Natural sciences and mathematics 600 Natural sciences and mathematics > 530 Physics 
Faculties:  Faculty of Physics 
Language:  English 
Date Accepted:  4. August 2009 
1. Referee:  Erdmenger, Johanna 
Persistent Identifier (URN):  urn:nbn:de:bvb:19104664 
MD5 Checksum of the PDFfile:  f84a45c4d8d41f749da3033bc7c8c0c0 
Signature of the printed copy:  0001/UMC 17966 
ID Code:  10466 
Deposited On:  18. Aug 2009 08:55 
Last Modified:  16. Oct 2012 08:30 