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D-Branes in Anti-de-Sitter Space


Lee, Peter Byungho (2003) D-Branes in Anti-de-Sitter Space. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZE9Y-RP78.


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: AdS₃ x S₃ x M⁴ and AdS₅ x S⁵, 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 x 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 AdS₅ x S⁵ 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 AdS₃ x S₃ x M⁴ 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 AdS₃ x S₃ x M⁴ 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
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ooguri, Hirosi
Group:Caltech Theory
Thesis Committee:
  • Ooguri, Hirosi (chair)
  • Schwarz, John H.
  • Wise, Mark B.
  • Kamionkowski, Marc P.
Defense Date:5 March 2003
Record Number:CaltechETD:etd-06022003-200011
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2380
Deposited By: Imported from ETD-db
Deposited On:04 Jun 2003
Last Modified:11 Feb 2021 20:42

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