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Topologically massive gravity and the AdS/CFT correspondence

Record type: Article

We set up the AdS/CFT correspondence for topologically massive gravity (TMG) in three dimensions. The first step in this procedure is to determine the appropriate fall off conditions at infinity. These cannot be fixed a priori as they depend on the bulk theory under consideration and are derived by solving asymptotically the non-linear field equations. We discuss in detail the asymptotic structure of the field equations for TMG, showing that it contains leading and subleading logarithms, determine the map between bulk fields and CFT operators, obtain the appropriate counterterms needed for holographic renormalization and compute holographically one- and two-point functions at and away from the "chiral point" (? = 1). The 2-point functions at the chiral point are those of a logarithmic CFT (LCFT) with cL = 0,cR = 3l/GN and b = ?3l/GN, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (? ? 1) smoothly limit to the LCFT ones as ? ? 1. Away from the chiral point, the CFT contains a state of negative norm and the expectation value of the energy momentum tensor in that state is also negative, reflecting a corresponding bulk instability due to negative energy modes.

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Citation

Skenderis, Kostas, Taylor, Marika and Rees, Balt C. van (2009) Topologically massive gravity and the AdS/CFT correspondence Journal of High Energy Physics, 2009, (9), JHEP09(2009)045-[47pp]. (doi:10.1088/1126-6708/2009/09/045).

More information

Published date: September 2009
Keywords: AdS-CFT and dS-CFT correspondence, gauge-gravity correspondence
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 341274
URI: http://eprints.soton.ac.uk/id/eprint/341274
PURE UUID: 7370911b-6ed5-4864-b9ca-e45ac7d8c576

Catalogue record

Date deposited: 25 Jul 2012 11:29
Last modified: 18 Jul 2017 05:37

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Contributors

Author: Marika Taylor
Author: Balt C. van Rees

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