Applications of the gauge theory/gravity correspondence
Jun 4, 2010126 pages
Supervisor:
Thesis: PhD - J. Murugan
- Cape Town U.
- Published: Jun 4, 2010
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Abstract:
the gauge theory/gravity correspondence encompasses a variety of dierent specic dualities. We study examples of both Super Yang-Mills/type IIB string theory and Super Chern-Simons-matter/type IIA string theory dualities. We focus on the recent ABJM correspondence as an example of the latter. We conduct a detailed investigation into the properties of D-branes and their operator duals. The D2-brane dual giant graviton on AdS 4 CP 3 is initially studied: we calculate its spectrum of small uctuations and consider open string excitations in both the short pp-wave and long semiclassical string limits. We extend Mikhailov's holomorphic curve construction to build a giant graviton on AdS 5 T 1 ; 1 . This is a non-spherical D3-brane conguration, which factorizes at maxi- mal size into two dibaryons on the base manifold T 1 ; 1 . We present a uctuation analysis and also consider attaching open strings to the giant's worldvolume. We nally propose an ansatz for the D4-brane giant graviton on AdS 4 CP 3 , which is embedded in the complex projective space. The maximal D4-brane giant factorizes into two CP 2 dibaryons. A comparison is made between the spectrum of small uctuations about one such CP 2 dibaryon and the conformal dimensions of BPS excitations of the dual determinant operator in ABJM theory. We conclude with a study of the thermal properties of an ensemble of pp-wave strings under a Lunin-Maldacena deformation. We investigate the possibility that the Hage- dorn temperature - dual to the temperature of the connement/deconnement tran- sition in planar SYM theory - may be a universal quantity, at least under a partial breaking of supersymmetry- graviton: giant
- gravitation: gauge field theory
- string: open
- string model: duality
- string: excited state
- string: semiclassical
- operator: determinant
- dimension: conformal
- excited state: BPS
- D-brane
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