Description
- Abstract:
- Nonperturbative issues in quantum gravity in Anti de Sitter spacetimes are addressed by means of the manifestly holographic framework of Anti de Sitter/Conformal Field theory correspondence (in Lorentzian signature). After a review of the properties of Anti de Sitter space, the map of local bulk insertions in terms of "smeared out" boundary CFT operators is constructed in the strictly semiclassical limit. We begin with pure AdS space in various coordinate systems where it is demonstrated how (approximate) bulk locality emerges from the dual CFT. The best result is obtained for the case of Rindler coordinates one is able to minimize the support of the complexif ied smeared CFT operators to a very compact region of the boundary. Holographic maps are also constructed for various AdS black holes. We show how bulk degrees of freedom in regions of bulk behind horizons are encoded in the dual CFT and what is the CFT interpretation of the black hole singularity. Next we model a scenario of eternal ination by embedding "landscape" of string theory vacua in the manifestly holographic framework of AdS/CFT duality. Bubble geometries with de Sitter interiors within an ambient Schwarzschild anti-de Sitter black hole spacetime are investigated and a characterization for the states in the dual CFT on boundary of the asymptotic AdS which code the expanding dS bubble are obtained. These can then in turn be used to specify initial conditions for cosmology. This scenario naturally interprets the entropy of de Sitter space as a (logarithm of ) subspace of states of the black hole microstates. Consistency checks are performed and a number of implications regarding cosmology are discussed including how the key problems or paradoxes of conventional eternal ination are overcome. Finally we turn to pure AdS gravity in (2+1)-dimensions which is classically equivalent to Chern-Simons theory. Recent investigations suggest that the dual CFT is holomorphically factorizable. By analyzing classical gauge
- Notes:
- Thesis (Ph.D. -- Brown University (2010)
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Citation
Roy, Shubho Ranjan,
"Holographic description of black holes and cosmic inflation in asymptotically anti de Sitter backgrounds"
(2010).
Physics Theses and Dissertations.
Brown Digital Repository. Brown University Library.
https://doi.org/10.7301/Z03B5XCF
