On String Theory Duals of Lifshitz-like Fixed Points

Details On String Theory Duals of Lifshitz-like Fixed Points On String Theory Duals of Lifshitz-like Fixed Points

2009-05-06

arxiv.org/abs/0905.0688v1

JHEP 0906:084,2009

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 4 figures

Scientific paper

10.1088/1126-6708/2009/06/084

We present type IIB supergravity solutions which are expected to be dual to certain Lifshitz-like fixed points with anisotropic scale invariance. They are expected to describe a class of D3-D7 systems and their finite temperature generalizations are straightforward. We show that there exist solutions that interpolate between these anisotropic solutions in the IR and the standard AdS5 solutions in the UV. This predicts anisotropic RG flows from familiar isotropic fixed points to anisotropic ones. In our case, these RG flows are triggered by a non-zero theta-angle in Yang-Mills theories that linearly depends on one of the spatial coordinates. We study the perturbations around these backgrounds and discuss the possibility of instability. We also holographically compute their thermal entropies, viscosities, and entanglement entropies.

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