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Holographic Lattices Give the Graviton a Mass · Around

2013

Holographic Lattices Give the Graviton a Mass

Blake, Mike, Tong, David, Vegh, David

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We discuss the DC conductivity of holographic theories with translational invariance broken by a background lattice.

We show that the presence of the lattice induces an effective mass for the graviton via a gravitational version of the Higgs mechanism.
This allows us to obtain, at leading order in the lattice strength, an analytic expression for the DC conductivity in terms of the size of the lattice at the horizon.
In locally critical theories this leads to a power law resistivity that is in agreement with an earlier field theory analysis of Hartnoll and Hofman.

Built on

N. Arkani-Hamed, H. Georgi and M. D. Schwartz, “ Effective field theory for massive gravitons and gravity in theory space
2003
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A. Donos and J. P. Gauntlett, “ Holographic striped phases
Original
2004
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S.A. Hartnoll, P.K. Kovtun, M. Mueller, S. Sachdev, “ Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
Original
2007
Earlier work this paper cites.
S. A. Hartnoll, “ Lectures on holographic methods for condensed matter physics
Original
2009
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N. Iqbal and H. Liu, “ Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
Original
2009
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J. McGreevy, “ Holographic duality with a view toward many-body physics
Original
2010
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2011

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T. Faulkner, H. Liu, J. McGreevy and D. Vegh, “ Emergent quantum criticality, Fermi surfaces, and AdS 2

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2011

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R. A. Davison, “ Momentum relaxation in holographic massive gravity

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M. Blake and D. Tong, “ Universal Resistivity from Holographic Massive Gravity

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A. Donos and S. A. Hartnoll, “ Metal-insulator transition in holography

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