Lifshitz Gravity for Lifshitz Holography

Abstract

We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter. Then we perform holographic renormalization of HL gravity, and show how it reproduces the full structure of the z=2 anisotropic Weyl anomaly in dual field theories in 2+1 dimensions, while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly.

9 pages

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Non-relativistic holography
• Holographic stress tensor for non-relativistic theories
• AdS/CFT correspondence and Geometry
• General Covariance in Gravity at a Lifshitz Point
• String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals

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