Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT

Details Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT

2006-04-14

arxiv.org/abs/hep-th/0604102v3

JHEP0607:023,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figure, JHEP.cls; v2. typos corrected

Scientific paper

10.1088/1126-6708/2006/07/023

We investigate emergent holography of weakly coupled two-dimensional hyperK\"ahler sigma model on cotangent bundle of (N-1)-dimensional complex projective space at zero and finite temperature. The sigma model is motivated by the spacetime conformal field theory dual to the near-horizon geometry of Q1 D1-brane bound to Q5 D5-brane wrapped on four-torus times circle, where N = Q1*Q5. The sigma model admits nontrivial instanton for all N greater than or equal to 2, which serves as a local probe of emergent holographic spacetime. We define emergent geometry of the spacetime as that of instanton moduli space via Hitchin's information metric. At zero temperature, we find that emergent geometry is AdS3. At finite temperature, time-periodic instanton is mappable to zero temperature instanton via conformal transformation. Utilizing the transformation, we show that emergent geometry is precisely that of the non-extremal, non-rotating BTZ black hole.

Affiliated with

Also associated with

No associations

Rating

Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT 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 Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Emergent AdS3 and BTZ Black Hole from Weakly Interacting Hot 2d CFT will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623811