Holographic Lattices Give the Graviton an Effective Mass

Mike A Blake, David Tong, David Vegh

Research output: Contribution to journalLetter (Academic Journal)peer-review


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.
Original languageEnglish
Article number071602
Number of pages5
JournalPhysical Review Letters
Issue number7
Publication statusPublished - 20 Feb 2014

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