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arXiv · 1012.3316

Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions

Arjun Bagchi
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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.

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Arjun Bagchi. 2010-12-15. Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions. https://doi.org/10.1007/jhep02(2011)091

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