Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-13
Physics
High Energy Physics
High Energy Physics - Theory
major revision with several clarifications and corrections, 22 pages
Scientific paper
We parametrize the (2+1)-dimensional AdS space and the BTZ black hole with Fefferman-Graham coordinates starting from the AdS boundary. We consider various boundary metrics: Rindler, static de Sitter and FRW. In each case, we compute the holographic stress-energy tensor of the dual CFT and confirm that it has the correct form, including the effects of the conformal anomaly. We find that the Fefferman-Graham parametrization also spans a second copy of the AdS space, including a second boundary. For the boundary metrics we consider, the Fefferman-Graham coordinates do not cover the whole AdS space. We propose that the length of the line delimiting the excluded region at a given time can be identified with the entropy of the dual CFT on a background determined by the boundary metric. For Rindler and de Sitter backgrounds our proposal reproduces the expected entropy. For a FRW background it produces a generalization of the Cardy formula that takes into account the vacuum energy related to the expansion.
No associations
LandOfFree
Entropy from AdS(3)/CFT(2) 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 Entropy from AdS(3)/CFT(2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy from AdS(3)/CFT(2) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-429770