Flows involving Lifshitz solutions

Abstract

We construct gravity solutions describing renormalization group flows relating relativistic and non-relativistic conformal theories. We work both in a simple phenomenological theory with a massive vector field, and in an N=4, d=6 gauged supergravity theory, which can be consistently embedded in string theory. These flows offer some further insight into holography for Lifshitz geometries: in particular, they enable us to give a description of the field theory dual to the Lifshitz solutions in the latter theory. We also note that some of the AdS and Lifshitz solutions in the N=4, d=6 gauged supergravity theory are dynamically unstable.

38 pages, 17 figures, v2: reference added

References in corpus (3)

• Electron stars for holographic metallic criticality
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries

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