On String Theory Duals of Lifshitz-like Fixed Points

TL;DR

This paper constructs type IIB supergravity solutions dual to Lifshitz-like fixed points with anisotropic scale invariance, revealing RG flows triggered by a spatially dependent theta-angle and analyzing their physical properties.

Contribution

It introduces new supergravity solutions dual to anisotropic fixed points and explores their RG flows, stability, and thermodynamic properties.

Findings

Existence of solutions interpolating between IR anisotropic and UV AdS5 regimes.

RG flows driven by a theta-angle linearly dependent on spatial coordinates.

Computed entropies, viscosities, and entanglement entropies for these backgrounds.

Abstract

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.