Black holes with topologically nontrivial AdS asymptotics

TL;DR

This paper explores black hole solutions with nontrivial topologies in asymptotically AdS spacetimes, revealing their thermodynamic stability and holographic dualities to multiple boundary conformal field theories.

Contribution

It introduces a class of static black hole solutions with topologically nontrivial transverse sections in theories with a negative cosmological constant, and analyzes their thermodynamics and holographic relations.

Findings

Stable equilibrium states depend on negative cosmological constant.

Multiple boundary CFTs are holographically related to these solutions.

Topologically diverse black hole solutions exist in the studied theories.

Abstract

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.