Holographic Lifshitz flows and the null energy condition
arXiv:1206.1047
Abstract
We study asymptotically Lifshitz spacetimes and the constraints on flows between Lifshitz fixed points imposed by the null energy condition. In contrast with the relativistic holographic c-theorem, where the effective AdS radius, L, is monotonically decreasing in the IR, for Lifshitz backgrounds we find that both L and z may flow in either direction. We demonstrate this with several numerical examples in a phenomenological model with a massive gauge field coupled to a real scalar.
29 pages, REVTeX, 5 figures
References in corpus (19)
- The Holographic Weyl anomaly
- Lectures on holographic methods for condensed matter physics
- Gravity Duals of Lifshitz-like Fixed Points
- On Renormalization Group Flows in Four Dimensions
- Lectures on Holographic Superfluidity and Superconductivity
- Holographic c-theorems in arbitrary dimensions
- Holographic duality with a view toward many-body physics
- Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
- Seeing a c-theorem with holography
- Theorems on gravitational time delay and related issues
- Holography and the Weyl anomaly
- Peculiar properties of a charged dilatonic black hole in AdS_5
- Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
- On the new massive gravity and AdS/CFT
- The null energy condition and instability
- Instabilities and the null energy condition
- On the Null Energy Condition and Causality in Lifshitz Holography
- Holographic phase space: -functions and black holes as renormalization group flows
- Implications of bulk causality for holography in AdS