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AdS/CFT and Landau Fermi liquids

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arxiv 1312.0463 v2 pith:WT4ZOGTH submitted 2013-12-02 hep-th cond-mat.str-el

Richard A. Davison , Mikhail Goykhman , Andrei Parnachev This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords temperaturefermilandaufieldgravitationalliquidtheorybackground
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We study the field theory dual to a charged gravitational background in which the low temperature entropy scales linearly with the temperature. We exhibit the existence of a sound mode which is described by hydrodynamics, even at energies much larger than the temperature, and explain how this, and other properties of the field theory, are consistent with those of a (3+1)-dimensional Landau Fermi liquid, finely tuned to the Pomeranchuk critical point. We also discuss how one could engineer a higher-derivative gravitational Lagrangian which reproduces the correct low temperature behavior of shear viscosity in a generic Landau Fermi liquid.

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Cited by 2 Pith papers

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

  1. Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordstr\"om-AdS black hole

    hep-th 2025-12 conditional novelty 7.0 of 10

    Schwarzian quantum fluctuations raise the shear viscosity of near-extremal Reissner-Nordström-AdS4 black holes above s/4π by a positive O(1/(CT)^2) correction and are argued to lift the classical T=0 gapless shear mode.

  2. Holographic fundamental matter in multilayered media

    hep-th 2019-09 conditional novelty 6.0 of 10

    A top-down holographic D3-D5-D7 construction yields anisotropic thermodynamics and distinct in-plane and off-plane sound and diffusion modes for strongly coupled layered matter with fundamental flavors.

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