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 \( \mathcal{N}=4 \) super Yang-Mills on the contracting branch of an anisotropic de Sitter space and is well defined. We compute two-point correlators of Yang-Mills 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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ArXiv ePrint: 1503.08838
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Engelhardt, N., Hertog, T. & Horowitz, G.T. Further holographic investigations of big bang singularities. J. High Energ. Phys. 2015, 44 (2015). https://doi.org/10.1007/JHEP07(2015)044
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DOI: https://doi.org/10.1007/JHEP07(2015)044