Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model
arXiv:1310.4778 · doi:10.1007/JHEP01(2014)108
Abstract
The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It is found that the retarded correlators are stable in the sense that all quasinormal modes are situated in the lower half-plane of complex frequencies. Correlators in the longitudinal channel exhibit features that are reminiscent of a structure usually obtained in field theories that are logarithmic, i.e. contain an indecomposable highest weight representation. This suggests the model at hand as a candidate for a gravity dual of a logarithmic field theory with anisotropic scaling symmetry.
31 pages, 2 figures
References in corpus (12)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Quantum criticality
- Non-relativistic holography
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Holographic stress tensor for non-relativistic theories
- Lifshitz Solutions of D=10 and D=11 supergravity
- Logarithmic Conformal Field Theory: Beyond an Introduction
- Constructing Lifshitz solutions from AdS
- Holographic applications of logarithmic conformal field theories
- Holographic two-point functions for 4d log-gravity
- Three-Dimensional Tricritical Gravity
- Boundary conditions for metric fluctuations in Lifshitz