AdS/CFT and Landau Fermi liquids
arXiv:1312.0463 · doi:10.1007/JHEP07(2014)109
Abstract
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.
harvmac, 35 pages, 2 figures. v2: minor changes and references added
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- Thermodynamic law from the entanglement entropy bound
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- Minding the Gap in N=4 Super-Yang-Mills
- From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
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- Probing deformed backgrounds with branes
- Holographic renormalization in dense medium
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- Holographic zero sound for SCFTs in 4d