Resolving Lifshitz Horizons

Harrison, Sarah ; Kachru, Shamit ; Wang, Huajia ; /Stanford U., ITP /Stanford U., Phys. Dept. /SLAC

SLAC National Accelerator Laboratory

关键词: Singularity Theory-Hep,Hepth;    Geometry;    Field Theories;    Ground States;    Physics;   

DOI  :  10.2172/1039184
RP-ID  :  SLAC-PUB-14966
RP-ID  :  AC02-76SF00515
RP-ID  :  1039184

美国|英语

来源: UNT Digital Library

【 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 characterizing field theories with non-trivial dynamical critical exponent z {ne} 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, generic corrections lead to a replacement of the Lifshitz metric, in the deep infrared, by a re-emergent AdS{sub 2} x R{sup 2} geometry. Thus, at least in these cases, the Lifshitz scaling characterizes the physics over a wide range of energy scales, but the mild singularity is cured by quantum or stringy effects.