A note on AdS cosmology and gauge theory correlator

Banerjee, Souvik; Bhowmick, Samrat; Chatterjee, Soumyabrata; Mukherji, Sudipta

doi:10.48550/arxiv.1501.06317

Cited by 4 publications

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“…This implies that for t > 0, the turning point occurs at t * = (−c) −1/2p . The function x(t) can be obtained from u(t) by direct integration; the result below agrees with the earlier work of [15] 3 :…”

Section: Geodesics In Kasner-ads D+1supporting

confidence: 89%

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Further holographic investigations of big bang singularities

Engelhardt

Hertog

Horowitz

2015

J. High Energ. Phys.

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Abstract:We further explore the quantum dynamics near past cosmological singularities in anisotropic Kasner-AdS solutions using gauge/gravity duality. The dual description of the bulk evolution involves N = 4 super Yang-Mills on the contracting branch of an anisotropic de Sitter space and is well defined. We compute two-point correlators of YangMills operators of large dimensions using spacelike geodesics anchored on the boundary. The correlator between two points separated in a direction with negative Kasner exponent p always exhibits a pole at horizon scales, in any dimension, which we interpret as a dual signature of the classical bulk singularity. This indicates that the geodesic approximation selects a non-normalizable Yang-Mills state.

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Section: Geodesics In Kasner-ads D+1supporting

confidence: 89%

“…3 Ref. [15] solved Eqs. (3.5) for a different set of boundary conditions (and with fewer simplifications).…”

Section: Geodesics In Kasner-ads D+1mentioning

confidence: 99%

Further holographic investigations of big bang singularities

Engelhardt

Hertog

Horowitz

2015

J. High Energ. Phys.

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“…It was found that if the direction along which the operators were separated carries a negative Kasner exponent, the correlators developed divergences in their IR. Subsequently, in [15], by solving the space-like geodesic equations for arbitrary exponents, it was noticed that for correlators separated along the positive Kasner exponents, correlation vanishes even if one pushes the space-like surface close to the singularity. While the reason for such behaviour is not yet obvious to us, in the present work we consider a larger class of time dependent geometries in AdS, study their symmetries, embeddings in flat space of higher dimensions, space-like geodesics in the geometries and nature two point correlators at the boundary.…”

Section: Introductionmentioning

confidence: 99%

Nonvacuum AdS cosmology and comments on gauge theory correlator

et al. 2017

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Several time dependent backgrounds, with perfect fluid matter, can be used to construct solutions of Einstein equations in the presence of a negative cosmological constant along with some matter sources. In this work we focus on the non-vacuum Kasner-AdS geometry and its solitonic generalization. To characterize these space-times, we provide ways to embed them in higher dimensional flat space-times. General space-like geodesics are then studied and used to compute the two point boundary correlators within the geodesic approximation.

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“…In [15] a more general solution where the D3-brane worldvolume is replaced by Friedmann-Robertson-Walker (FRW) metric with a conformal factor was obtained and its properties were analyzed [16]. For the M5-brane only the Kasner deformation has been investigated [17,18].…”

Section: Introductionmentioning

confidence: 99%

Time-dependent AdS backgrounds from S-branes

Deger

2016

Physics Letters B

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We construct time and radial dependent solutions that describe p-branes in chargeless S-brane backgrounds. In particular, there are some new M5-and D3-branes among our solutions which have AdS limits and contain a cosmological singularity as well. We also find a time-dependent version of the dyonic membrane configuration in 11-dimensions by applying a Lunin-Maldacena deformation to our new M5-brane solution.

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A note on AdS cosmology and gauge theory correlator

Cited by 4 publications

References 0 publications

Further holographic investigations of big bang singularities

Further holographic investigations of big bang singularities

Nonvacuum AdS cosmology and comments on gauge theory correlator

Time-dependent AdS backgrounds from S-branes

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