Topologically Massive Gravity and the AdS/CFT Correspondence

Details Topologically Massive Gravity and the AdS/CFT Correspondence Topologically Massive Gravity and the AdS/CFT Correspondence

2009-06-26

arxiv.org/abs/0906.4926v2

JHEP 0909:045,2009

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, v2: added comments and references

Scientific paper

10.1088/1126-6708/2009/09/045

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' (mu = 1). The 2-point functions at the chiral point are those of a logarithmic CFT (LCFT) with c_L = 0, c_R = 3l/G_N and b = -3l/G_N, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (mu \neq 1) smoothly limit to the LCFT ones as mu \to 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.

Affiliated with

Also associated with

No associations

Rating

Topologically Massive Gravity and the AdS/CFT Correspondence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topologically Massive Gravity and the AdS/CFT Correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topologically Massive Gravity and the AdS/CFT Correspondence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670979