Universal Resistivity from Holographic Massive Gravity

Abstract

Massive gravity provides a holographic model for theories exhibiting momentum dissipation. We provide an analytic expression for the DC conductivity. The result is universal, depending only on properties of the infra-red horizon, and holds at finite temperature and charge density. In addition, we provide a derivation of black hole thermodynamics in holographic massive gravity and show that the resulting physics is sensible.

20 pages, JHEP style, v2: added references, additional comments on more general graviton potentials in Sec. 5, v3: typos corrected to match published version

References in corpus (19)

• Resummation of Massive Gravity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Effective Holographic Theories for low-temperature condensed matter systems
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Metallic AdS/CFT
• Quantum critical transport, duality, and M-theory
• Holographic duality and the resistivity of strange metals
• Holography without translational symmetry
• Momentum relaxation in holographic massive gravity
• Holographic Lattices Give the Graviton a Mass
• Impure AdS/CFT
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Metal-insulator transition in holography
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Massive Gravity Acausality Redux
• Charge transport by holographic Fermi surfaces
• Superluminal Propagation and Acausality of Nonlinear Massive Gravity
• Holography without strings?
• On AdS/CFT without Massless Gravitons

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