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AdS/CFT and gravity

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arxiv hep-th/9912001 v3 pith:2LWY333E submitted 1999-12-01 hep-th

Steven S. Gubser This is my paper
classification hep-th
keywords gravitystringboundcomescosmologycurvatureemergesrate
verification ladder T0 review T1 audit T2 compute T3 formal
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The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology in this way is an expected result from AdS/CFT in light of recent comments regarding the coupling of gravity to "boundary" conformal field theories. I remark on how this calculation bears on the understanding of Randall and Sundrum's "alternative to compactification." A generalization of the AdS/CFT prescription for computing Green's functions is suggested, and it is shown how gravity emerges from it with a strength G_4 = 2 G_5/L. Some numerical bounds are set on the radius of curvature L of AdS_5. One of them comes from estimating the rate of leakage of visible sector energy into the CFT. That rate is connected via a unitarity relation to deviations from Newton's force law at short distances. The best bound on L obtained in this paper comes from a match to the parameters of string theory. It is L < 1 nm if the string scale is 1 GeV. Higher string scales imply a tighter bound on L.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen

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    In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.

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    Holographic 5D model shows confinement critical temperature falls quadratically with vacuum angle, matches lattice QCD, and allows time-dependent theta to trigger supercooling and altered gravitational-wave spectra.

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    From rQFC, a new CFT bound follows that forbids the QNEC from saturating faster than O(Σ^{d−2}) in near-vacuum states, while rQFC is proven in JT gravity and explicit QFC counterexamples are constructed.

  4. Quantum corrected black hole microstates and entropy

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    In a doubly holographic black hole model, the dimension of the microstate Hilbert space equals the sum of the quantum-corrected thermodynamic entropies of the left and right black holes, which equals the generalised e...

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  6. Emergent Holographic Spacetime from Quantum Information

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    Takayanagi's essay outlines a research program in which holographic spacetime, including the time direction, may emerge from entanglement, complexity, and complex-valued pseudo-entropy, without presenting a new derivation.

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