On the IR completion of geometries with hyperscaling violation

Bhattacharya, Jyotirmoy and Cremonini, Sera and Sinkovics, Annamária (2013) On the IR completion of geometries with hyperscaling violation. JOURNAL OF HIGH ENERGY PHYSICS, 2013 (2). pp. 1-25. ISSN 1126-6708

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Abstract

We study solutions to Einstein-Maxwell-dilaton gravity with a constant magnetic flux which describe, in the holographic AdS/CFT framework, field theories characterized by a dynamical critical exponent and a hyperscaling violation exponent. Such solutions are known to be IR-incomplete due to the presence of a running dilaton, which drives the theory towards strong coupling in the IR, where quantum corrections become important. After introducing generic corrections, in this note we examine the conditions for the emergence of an AdS2 × R2 region close to the horizon, which provides an IR-completion for the hyperscaling violating solutions. In the presence of these corrections, we construct explicit numerical solutions where the geometry flows from AdS4 in the UV to AdS2 × R2 in the deep IR, with an intermediate region which exhbits both hyperscaling violation and Lifshitz-like scaling. We also provide constraints on the structure of Einstein-Maxwell-dilaton theories that admit such solutions, as well as an emergent AdS2 × R2 region in the infrared.

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