Resolving Lifshitz horizons

被引:26
作者
Harrison, Sarah [1 ]
Kachru, Shamit
Wang, Huajia
机构
[1] Stanford Univ, Dept Phys, Stanford Inst Theoret Phys, Stanford, CA 94305 USA
基金
美国国家科学基金会;
关键词
AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT);
D O I
10.1007/JHEP02(2014)085
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Via the AdS/CFT correspondence, ground states of field theories at finite charge density are mapped to extremal black brane solutions. Studies of simple gravity + matter systems in this context have uncovered wide new classes of extremal geometries. The Lifshitz metrics characterising field theories with non-trivial dynamical critical exponent z not equal aEuro parts per thousand 1 emerge as one common endpoint in doped holographic toy models. However, the Lifshitz horizon exhibits mildly singular behaviour - while curvature invariants are finite, there are diverging tidal forces. Here we show that in some of the simplest contexts where Lifshitz metrics emerge, Einstein-Maxwell-dilaton theories, toy models of generic corrections can lead (presumably as one possibility among many) to a replacement of the Lifshitz metric, in the deep infrared, by a re-emergent AdS (2) x R (2) geometry. Thus, at least in these cases, the Lifshitz scaling characterises the physics over a wide range of energy scales, but the mild singularity is cured by quantum or stringy effects.
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页数:15
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