Slowly varying dilaton cosmologies and their field theory duals

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.126011· OSTI ID:21316601

Awad, Adel ^[1]; Das, Sumit R; Ghosh, Archisman; Oh, Jae-Hyuk ^[2]; Trivedi, Sandip P ^[3]

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1. Center for Theoretical Physics, British University of Egypt, Sherouk City 11837, P.O. Box 43 (Egypt)
2. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506 (United States)
3. Tata Institute of Fundamental Research, Mumbai 400005 (India)

We consider a deformation of the AdS{sub 5}xS{sup 5} solution of IIB supergravity obtained by taking the boundary value of the dilaton to be time dependent. The time dependence is taken to be slowly varying on the anti-de Sitter (AdS) scale thereby introducing a small parameter {epsilon}. The boundary dilaton has a profile which asymptotes to a constant in the far past and future and attains a minimum value at intermediate times. We construct the supergravity (sugra) solution to first nontrivial order in {epsilon}, and find that it is smooth, horizon-free, and asymptotically AdS{sub 5}xS{sup 5} in the far future. When the intermediate values of the dilaton becomes small enough the curvature becomes of order the string scale and the sugra approximation breaks down. The resulting dynamics is analyzed in the dual SU(N) gauge theory on S{sup 3} with a time dependent coupling constant which varies slowly. When N{epsilon}<<1, we find that a quantum adiabatic approximation is applicable, and use it to argue that at late times the geometry becomes smooth AdS{sub 5}xS{sup 5} again. When N{epsilon}>>1, we formulate a classical adiabatic perturbation theory based on coherent states which arises in the large N limit. For large values of the 't Hooft coupling this reproduces the supergravity results. For small 't Hooft coupling the coherent state calculations become involved and we cannot reach a definite conclusion. We argue that the final state should have a dual description which is mostly smooth AdS{sub 5} space with the possible presence of a small black hole.

• OSTI ID: 21316601
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 12; Other Information: DOI: 10.1103/PhysRevD.80.126011; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ADIABATIC APPROXIMATION
ANNIHILATION OPERATORS
ANTI DE SITTER SPACE
BLACK HOLES
COSMOLOGY
COUPLING
COUPLING CONSTANTS
DEFORMATION
EIGENSTATES
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
SU GROUPS
SUPERGRAVITY
TIME DEPENDENCE