Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform
arXiv:1705.06985 · doi:10.1007/JHEP10(2017)082
Abstract
The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel'fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to correlation functions of a self-interacting scalar field theory in the bulk at different loop orders.
arXiv comment13 pages, 2 figures, LaTeX. Typos in formulae corrected for measure factors. Version to Published in JHEP
References in corpus (18)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Holographic representation of local bulk operators
- Local bulk operators in AdS/CFT: a boundary view of horizons and locality
- EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
- A Stereoscopic Look into the Bulk
- Local bulk operators in AdS/CFT: A holographic description of the black hole interior
- On the construction of local fields in the bulk of AdS_5 and other spaces
- What Do CFTs Tell Us About Anti-de Sitter Spacetimes?
- Decoding the hologram: Scalar fields interacting with gravity
- Holographic representation of bulk fields with spin in AdS/CFT
- Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields
- Local bulk physics from intersecting modular Hamiltonians
- CFT descriptions of bulk local states in the AdS black holes
- Hologram of a pure state black hole
- The Boundary Dual of Bulk Local Operators
- Holographic bulk reconstruction beyond (super)gravity
- An Alternative Path to the Boundary - the CFT as the Fourier Space of AdS