When UV and IR Collide: Inequivalent CFTs From Different Foliations Of AdS
arXiv:1407.4467 · doi:10.1103/PhysRevD.93.046004
Abstract
In the AdS/CFT correspondence, CFTs are identified by asymptotic boundary surfaces and the boundary conditions imposed on those surfaces. However, AdS can be foliated in various ways to give different boundaries. We show that the CFTs obtained using certain distinct foliations are different. This difference arises because the asymptotic region of a foliation overlaps with the deep interior region of another. In particular we focus on the CFTs defined on surfaces of large constant radius in global coordinates, Rindler-AdS coordinates, and Poincaré coordinates for AdS. We refer to these as global-CFT, Rindler-CFT and Poincaré-CFT respectively. We demonstrate that the correlators for these CFTs are different and argue that the bulk duals to these should agree up to very close to the respective horizons but then start differing. Since the BTZ black hole is obtained as a quotient of AdS, we discuss the implications of our results for bulk duals of periodically-identified Poincaré and Rindler-CFTs. Our results are consistent with some recent proposals suggesting a modification of the semi-classical BTZ geometry close to the horizons.
29 pages, 11 figures
References in corpus (14)
- Towards a derivation of holographic entanglement entropy
- Holographic representation of local bulk operators
- Seeing a c-theorem with holography
- The fuzzball proposal for black holes
- Setting the boundary free in AdS/CFT
- Gravity solutions for the D1-D5 system with angular momentum
- Black Holes as Effective Geometries
- Fuzzballs with internal excitations
- Information Preservation and Weather Forecasting for Black Holes
- Fuzzball solutions for black holes and D1-brane--D5-brane microstates
- What is the dual of two entangled CFTs?
- Finite N and the failure of bulk locality: Black holes in AdS/CFT
- No Holography for Eternal AdS Black Holes
- Limitations of holography