Abstract

Asymptotically locally AdS black hole geometries of dimension d3?3 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer k e{l,2,. ,[(rf- l)/2]} which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature y, normalized to y=±l,0 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 [(d- l)/2] different conformai field theories at the boundary. ©2001 The American Physical Society.