Higher derivative corrections to Lifshitz backgrounds

preprint2013arXivOpen access

Abstract

We explore the effect of curvature-square corrections on Lifshitz solutions to the Einstein-Maxwell-dilaton system. After exhibiting the renormalized Lifshitz scaling solution to the system with parameterized R^2 corrections, we turn to a toy model with coupling g(ϕ)C_{μνρσ}^2 and demonstrate that such a term can both stabilize the dilaton and resolve the Lifshitz horizon to AdS_2 x R^2. As an example, we construct numerical flows from AdS_4 in the UV to an intermediate Lifshitz region and then to AdS_2 x R^2 in the deep IR.

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