Holography and the Polyakov action

Details Holography and the Polyakov action Holography and the Polyakov action

2002-03-03

arxiv.org/abs/hep-th/0203021v2

Phys.Rev. D65 (2002) 126008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, RevTeX, v2: minor typos corrected and references added

Scientific paper

10.1103/PhysRevD.65.126008

In two dimensional conformal field theory the generating functional for correlators of the stress-energy tensor is given by the non-local Polyakov action associated with the background geometry. We study this functional holographically by calculating the regularized on-shell action of asymptotically AdS gravity in three dimensions, associated with a specified (but arbitrary) boundary metric. This procedure is simplified by making use of the Chern-Simons formulation, and a corresponding first-order expansion of the bulk dreibein, rather than the metric expansion of Fefferman and Graham. The dependence of the resulting functional on local moduli of the boundary metric agrees precisely with the Polyakov action, in accord with the AdS/CFT correspondence. We also verify the consistency of this result with regard to the nontrivial transformation properties of bulk solutions under Brown-Henneaux diffeomorphisms.

Affiliated with

Also associated with

No associations

Rating

Holography and the Polyakov action 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 Holography and the Polyakov action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holography and the Polyakov action will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-308829