The Benefits of Stress: Resolution of the Lifshitz Singularity

Abstract

Through the AdS/CFT correspondence, Lifshitz spacetimes describe field theories with dynamical scaling ($z\ne 1$). Although curvature invariants are small, the Lifshitz metric exhibits a null singularity in the IR with a large tidal force that excites string oscillator modes. However, Lifshitz is not a vacuum solution of the Einstein equations -- the metric is supported by nontrivial matter content which must be taken into account in analyzing the propagation of test objects. In this paper, we consider the interaction of a string with a D0-brane density in the IR which supports a class of UV-complete $z=2$ Lifshitz constructions. We show that string/D-brane scattering in the Regge limit slows the string significantly, preventing divergent mode production and resolving the would-be singularity in string propagation.

16 pages; v2: new references added

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Cited by in corpus (4)

• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• Intermediate scalings in holographic RG flows and conductivities
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Scattering amplitudes in Lifshitz spacetime