Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-11-13
Phys.Rev. D63 (2001) 084015
Physics
High Energy Physics
High Energy Physics - Theory
13 Pages, 3 figures, two columns, Revtex, last version for PRD
Scientific paper
10.1103/PhysRevD.63.084015
Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature, 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 Rodrigo
Troncoso Ricardo
Zanelli Jorge
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