Lifshitz Gravity for Lifshitz Holography
Tom GriffinBerkeley Center for Theoretical Physics, Department of Physics, University of California, Berkeley, California 94720-7300, USAPetr HořavaBerkeley Center for Theoretical Physics, Department of Physics, University of California, Berkeley, California 94720-7300, USACharles M. Melby–ThompsonKavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
2013en
ABI
Аннотация
We argue that Hořava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and a dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter. Then we perform holographic renormalization of HL gravity, and show how it reproduces the full structure of the z=2 anisotropic Weyl anomaly in dual field theories in 2+1 dimensions, while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly.
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