Abstract
Anti–de Sitter space can be foliated by a family of nested surfaces homeomorphic to the boundary of the space. We propose a holographic correspondence between theories living on each surface in the foliation and quantum gravity in the enclosed volume. The flow of observables between our “interior” theories is described by a renormalization group equation. The dependence of these flows on the foliation of space encodes bulk geometry.
- Received 2 April 1999
DOI:https://doi.org/10.1103/PhysRevLett.83.3605
©1999 American Physical Society