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Holographic GB gravity in arbitrary dimensions

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Abstract

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general D(≥ 5) dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings arising in correlators of the stress tensor of the dual CFT. This allows us to examine constraints on the gravitational couplings by demanding consistency of the CFT. In particular, one can demand positive energy fluxes in scattering processes or the causal propagation of fluctuations. We also examine the holographic hydrodynamics, commenting on the shear viscosity as well as the relaxation time. The latter allows us to consider causality constraints arising from the second-order truncated theory of hydrodynamics.

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Authors and Affiliations

  1. Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada

    Alex Buchel, Jorge Escobedo, Robert C. Myers, Aninda Sinha & Michael Smolkin

  2. Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada

    Alex Buchel

  3. Department of Physics and Astronomy and Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    Jorge Escobedo

  4. Department of Applied Mathematics and Theoretical Physics, Cambridge, CB3 0WA, U.K.

    Miguel F. Paulos

  5. Racah Institute of Physics, Hebrew University, Jerusalem, 91904, Israel

    Michael Smolkin

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  1. Alex Buchel
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Correspondence to Jorge Escobedo.

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ArXiv ePrint: 0911.4257

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Buchel, A., Escobedo, J., Myers, R.C. et al. Holographic GB gravity in arbitrary dimensions. J. High Energ. Phys. 2010, 111 (2010). https://doi.org/10.1007/JHEP03(2010)111

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