AdS/CFT correspondence in cosmology

Abstract

The attempt to understand if AdS/CFT correspondence may be realized as the one between some AdS-like cosmological space and CFT living on the boundary is made. In order to obtain such cosmology we exchange the time and radial coordinates in d5 Schwarzschild-anti de Sitter (S-AdS) BH (with corresponding signature change). The test on proportionality of free energies from such d5 cosmological space (after AdS/CFT identification of parameters) and from $\mathcal{N}=4$ SU(N) super Yang-Mills quantum theory is successfully passed.

LaTeX file, 11 pages, discussion of entropy is added

References in corpus (4)

• Large N Field Theories, String Theory and Gravity
• A Covariant Entropy Conjecture
• Holography in General Space-times
• Strong Coupling Limit of $\mathcal{N}=2$ SCFT Free Energy and Higher Derivative AdS/CFT Correspondence

Cited by in corpus (24)

• Brane-World Gravity
• Brane-world gravity
• CFT and Entropy on the Brane
• Inflation in Gauss-Bonnet Brane Cosmology
• String inspired braneworld cosmology
• Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
• AdS/CFT correspondence, conformal anomaly and quantum corrected entropy bounds
• The AdS/CFT Correspondence and Logarithmic Corrections to Braneworld Cosmology and the Cardy-Verlinde Formula
• Phantom and quantum matter in an Anti-de Sitter Universe
• Aspects of Scalar Field Dynamics in Gauss-Bonnet Brane Worlds
• AdS/CFT and quantum-corrected brane entropy
• Cosmological anti-deSitter space-times and time-dependent AdS/CFT correspondence
• Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled Scalar Field on the Brane
• Bouncing and cyclic universes in the charged AdS bulk background
• Restricting Fourth Order Gravity via Cosmology
• Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly
• Tachyon inflation in the holographic braneworld
• Manybody treatment of white dwarf and neutron stars on the brane
• A comment on multiple vacua, particle production and the time dependent AdS/CFT correspondence
• De Sitter cosmology from Gauss-Bonnet dark energy with quantum effects
• Brane world in Non-Riemannian Geometry
• Tachyon fields with effects of quantum matter in an Anti-de Sitter Universe
• Casimir energy-momentum tensor for a quantized bulk scalar field in the geometry of two curved branes on Friedmann-Robertson-Walker background
• Noncommutative $p$-wave holographic superconductors