Abstract
We show how a theorem of Sullivan provides a precise mathematical statement of a 3D holographic principle, that is, the hyperbolic structure of a certain class of 3D manifolds is completely determined in terms of the corresponding Teichmüller space of the boundary. We explore the consequences of this theorem in the context of the Euclidean Bañados-Teitelboim-Zanelli black hole in three dimensions.
- Received 24 December 1998
DOI:https://doi.org/10.1103/PhysRevLett.82.4164
©1999 American Physical Society