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The Benefits of Stress: Resolution of the Lifshitz Singularity

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arxiv 1207.0171 v2 pith:CG57EOXF submitted 2012-07-01 hep-th cond-mat.str-elgr-qc

The Benefits of Stress: Resolution of the Lifshitz Singularity

classification hep-th cond-mat.str-elgr-qc
keywords lifshitzstringsingularitymetricpropagationaccountalthoughanalyzing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Through the AdS/CFT correspondence, Lifshitz spacetimes describe field theories with dynamical scaling ($z \neq 1$). 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.

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