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Asymptotically locally AdS black hole geometries of dimension d>~3 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer k1, 2, , (d-1) /2 which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature, normalized to =1, 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-1) /2 different conformal field theories at the boundary.
Aros et al. (Fri,) studied this question.