Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
arXiv:1012.3316 · doi:10.1007/JHEP02(2011)091
Abstract
The Galilean Conformal Algebra (GCA) arises from the relativistic conformal algebra in the non-relativistic limit. In two dimensions, one can view it as a limit of linear combinations of the two copies Virasoro algebra. Recently, it has been argued that Topologically Massive Gravity (TMG) realizes the quantum 2d GCA in a particular scaling limit of the gravitational Chern-Simons term. To add strength to this claim, we demonstrate a matching of correlation functions on both sides of this correspondence. A priori looking for spatially dependent correlators seems to force us to deal with high spin operators in the bulk. We get around this difficulty by constructing the non-relativistic Energy-Momentum tensor and considering its correlation functions. On the gravity side, our analysis makes heavy use of recent results of Holographic Renormalization in Topologically Massive Gravity.
18 pages
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- Tensionless Strings from Worldsheet Symmetries
- Stress tensor correlators in three-dimensional gravity
- 3D Flat Holography: Entropy and Logarithmic Corrections
- Holographic applications of logarithmic conformal field theories
- Galilean Conformal Mechanics from Nonlinear Realizations
- A BMS-invariant free scalar model
- Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
- Flat-Space Energy-Momentum Tensor from BMS/GCA Correspondence
- Correlation Functions of Warped CFT
- Intrinsic Approach to D Carrollian Conformal Field Theory
- Entanglement negativity in Galilean conformal field theories
- Aspects of Flat/CCFT Correspondence
- The algebraic structure of Galilean superconformal symmetries
- On Holographic Realization of Logarithmic GCA
- BMS Field Theories and Weyl Anomaly
- Symmetry Resolution in non-Lorentzian Field Theories
- Aspects of infinite dimensional -super Galilean conformal algebra
- Correspondence between the contracted BTZ solution of cosmological topological massive gravity and two-dimensional Galilean conformal algebra
- Conformal Galilean Spin-3 Gravity in 3d
- Entanglement Negativity in Flat Holography