Abstract
Asymptotically locally AdS black hole geometries of dimension are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer which possess a unique globally AdS vacuum. The transverse sections of these solutions are surfaces of constant curvature normalized to allowing for different topological configurations. The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states. In addition, it is shown that these theories are holographically related to different conformal field theories at the boundary.
- Received 13 November 2000
DOI:https://doi.org/10.1103/PhysRevD.63.084015
©2001 American Physical Society