A simple model of momentum relaxation in Lifshitz holography

@article{Andrade2016ASM,
  title={A simple model of momentum relaxation in Lifshitz holography},
  author={Tomas Andrade},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
  • T. Andrade
  • Published 1 February 2016
  • Physics
  • arXiv: High Energy Physics - Theory
We expand the holographic studies of momentum relaxation to include non-relativistic scaling symmetries in the ultraviolet. We do so by constructing black branes with Lifshitz asymptotics dressed with axions which explicitly depend on the boundary directions. Such configurations arise as analytic solutions of the Einstein-Proca theory coupled to massless scalar fields in arbitrary dimensions. Studying linear perturbations on these backgrounds, we conclude that there is a dual Ward identity… 

Figures from this paper

DC conductivities from non-relativistic scaling geometries with momentum dissipation
A bstractWe consider a gravitational theory with two Maxwell fields, a dilatonic scalar and spatially dependent axions. Black brane solutions to this theory are Lifshitz-like and violate
Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity
We construct analytical Lifshitz massive black brane solutions in massive Einstein-Maxwell-dilaton gravity theory. We also study the thermodynamics of these black brane solutions and obtain the
Non-equilibrium dynamics in Holography
In this thesis, we investigate aspects of non-equilibrium dynamics of strongly coupled field theories within holography. We establish a hydrodynamic description for anomalous quantum field theories
Holographic transports from Born–Infeld electrodynamics with momentum dissipation
We study the Einstein-axions AdS black hole from Born–Infeld electrodynamics. Various DC transport coefficients of the dual boundary theory are analytically computed. The DC electric conductivity
Linear and quadratic in temperature resistivity from holography
A bstractWe present a new black hole solution in the asymptotic Lifshitz spacetime with a hyperscaling violating factor. A novel computational method is introduced to compute the DC thermoelectric
Coherence effects in disordered geometries with a field-theory dual
A bstractWe investigate the holographic dual of a probe scalar in an asymptotically Anti-de-Sitter (AdS) disordered background which is an exact solution of Einstein’s equations in three bulk
Ward identity and Homes’ law in a holographic superconductor with momentum relaxation
A bstractWe study three properties of a holographic superconductor related to conductivities, where momentum relaxation plays an important role. First, we find that there are constraints between
Nonlinear conductivity and the ringdown of currents in metallic holography
A bstractWe study the electric and heat current response resulting from an electric field quench in a holographic model of momentum relaxation at nonzero charge density. After turning the electric
...
1
2
...

References

SHOWING 1-10 OF 92 REFERENCES
A simple holographic model of momentum relaxation
A bstractWe 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
Non-relativistic holography
We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the
Charge transport in holography with momentum dissipation
A bstractIn this work, we examine how charge is transported in a theory where momentum is relaxed by spatially dependent, massless scalars. We analyze the possible IR phases in terms of various
Holographic lattice in Einstein-Maxwell-dilaton gravity
A bstractWe construct an ionic lattice background in the framework of Einstein-Maxwell-dilaton theory in four dimensional space time. The optical conductivity of the dual field theory on the boundary
Holography for asymptotically locally Lifshitz spacetimes
We give a definition of asymptotically locally Lifshitz spacetimes, with boundary data appropriate for a non-relativistic theory on the boundary. Solutions satisfying these boundary conditions are
Gravity duals for non-relativistic CFTs
We attempt to generalize the AdS/CFT correspondence to non-relativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity,
Holography without translational symmetry
We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a
Holographic Q-lattices
A bstractWe introduce a new framework for constructing black hole solutions that are holographically dual to strongly coupled field theories with explicitly broken translation invariance. Using a
Anomalous breaking of anisotropic scaling symmetry in the quantum lifshitz model
A bstractIn this note we investigate the anomalous breaking of anisotropic scaling symmetry (t, x) → (λzt, λ x) in a non-relativistic field theory with dynamical exponent z = 2. On general grounds,
An analytic Lifshitz black hole
A Lifshitz point is described by a quantum field theory with anisotropic scale invariance (but not Galilean invariance). In [8], gravity duals were conjectured for such theories. We construct
...
1
2
3
4
5
...