Abstract
We consider a holographic model consisting of Einstein-Maxwell theory in (d+1) bulk spacetime dimensions with (d-1) massless scalar fields. Momentum relaxation is realised simply through spatially dependent sources for operators dual to the neutral scalars, which can be engineered so that the bulk stress tensor and resulting black brane geometry are homogeneous and isotropic. We analytically calculate the DC conductivity, which is finite. In the d=3 case, both the black hole geometry and shear-mode current-current correlators are those of a sector of massive gravity.
Highlights
In a separate line of attack, approaches to momentum relaxation have been made by considering a theory which explicitly breaks diffeomorphism invariance in the bulk
The point of this paper is to investigate the role of spatially dependent field theory sources on momentum relaxation in the simplest possible way
We make ψ massless, so that it only enters the bulk stress tensor through ∂μψ, and we only turn on sources which are linear in the boundary coordinates, ψ(0) ∝ αixi
Summary
It admits homogeneous and isotropic charged black brane solutions with nontrivial scalar field sources, whose properties will be the focus of this paper. At T = 0 the black hole becomes a finite entropy domain wall which interpolates between unit-radius AdSd+1 in the UV and a near horizon AdS2 × Rd−1, where the AdS2 radius, AdS2, is given by. O(d − 1) transformations, either corresponding to redefinitions of the coordinates xa or of the scalars ψI These transformations otherwise leave the solutions invariant. The solution is fully specified by T , μ and α
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