Local bulk operators in AdS/CFT correspondence: A holographic description of the black hole interior
- Department of Physics, Columbia University, New York, New York 10027 (United States)
- Department of Mathematics and Physics and CCMSC, University of Haifa at Oranim, Tivon 36006 (Israel)
- Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)
To gain insight into how bulk locality emerges from the holographic conformal field theory (CFT), we reformulate the bulk-to-boundary map in as local a way as possible. In previous work, we carried out this program for Lorentzian anti-de Sitter (AdS), and showed the support on the boundary could always be reduced to a compact region spacelike separated from the bulk point. In the present work the idea is extended to a complexified boundary, where spatial coordinates are continued to imaginary values. This continuation enables us to represent a local bulk operator as a CFT operator with support on a finite disc on the complexified boundary. We treat general AdS in Poincare coordinates and AdS{sub 3} in Rindler coordinates. We represent bulk operators inside the horizon of a Banados-Teitelboim-Zanelli (BTZ) black hole and we verify that the correct bulk two-point functions are reproduced, including the divergence when one point hits the BTZ singularity. We comment on the holographic description of black holes formed by collapse and discuss locality and holographic entropy counting at finite N.
- OSTI ID:
- 20935275
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 10; Other Information: DOI: 10.1103/PhysRevD.75.106001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Einstein black holes, free scalars, and AdS/CFT correspondence
Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality