Lee, Peter Byungho (2003) D-branes in anti-de-Sitter space. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-06022003-200011
We investigate the role of Dp-branes, which are p+1 dimensional membranes where open strings end, in two different types of anti-de-Sitter backgrounds: AdS3xS3xM4 and AdS5xS5, where M4 is a compact four-dimensional manifold such as the four-torus T4 or the K3 surface.
In the spirit of the AdS/CFT correspondence, D-brane physics on an anti-de-Sitter space should be captured by a dual conformal field theory defined on the boundary of AdS. Recently, Karch and Randall and DeWolfe, Freedman and Ooguri proposed in that the presence of a single D5-brane in AdS5 S5 is dual to a defect conformal field theory in which the usual N=4 bulk SYM theory is coupled to a 2+1 dimensional conformal defect field theory. Extending their result, we take the Penrose limit of a single D5-brane embedded in AdS5xS5 and propose a correspondence between open string states ending on the D5-brane and gauge-invariant operators living on the dual defect conformal field theory. Furthermore, we check this proposal by verifying that the anomalous dimension of the gauge theory operators matches the light-cone Hamiltonian of open strings ending on the D5-brane.
Maldacena has proposed that type IIB string theory compactified on AdS3xS3xM4 is dual to a 1+1 conformal field theory defined on the conformal boundary of AdS3. In this thesis, we restrict our attention to the study of a D-brane embedded in AdS3xS3xM4 backgrounds and leave the explicit construction of the AdS/CFT correspondence of this setup for future work by others. First, we investigate the spectrum of open strings on AdS2 branes in AdS3 in an NS-NS background using the SL(2,R) WZW model. Then, we construct boundary states for the AdS2 branes in the Euclideanized AdS3 background and compute the one-loop free energy of open strings stretched between the branes.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Subject Keywords:||AdS/CFT; Anti-de-Sitter Space; D-branes; Penrose Wave; PP Wave|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||5 March 2003|
|Author Email:||pblee (AT) caltech.edu|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||04 Jun 2003|
|Last Modified:||26 Dec 2012 02:50|
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