Quotients of anti-de Sitter space

Abstract

We study the quotients of n+1-dimensional anti-de Sitter space by one-parameter subgroups of its isometry group SO(2,n) for general n. We classify the different quotients up to conjugation by O(2,n). We find that the majority of the classes exist for all n \geq 2. There are two special classes which appear in higher dimensions: one for n \geq 3 and one for n \geq 4. The description of the quotient in the majority of cases is thus a simple generalisation of the AdS_3 quotients.

arXiv comment12 pages, v2: minor typos corrected

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Cited by in corpus (15)

• Birkhoff's Theorem for Three-Dimensional AdS Gravity
• Near Horizon Limits of Massless BTZ and Their CFT Duals
• A Multi-Boundary AdS Orbifold and DLCQ Holography: A universal holographic description of extremal black hole horizons
• Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black holes
• M-theory preons cannot arise by quotients
• Inflation, Large Branes, and the Shape of Space
• Maximally supersymmetric G-backgrounds of IIB supergravity
• APS Instability and the Topology of the Brane-World
• Supersymmetric Kaluza-Klein reductions of AdS backgrounds
• Locally anti de Sitter spaces and deformation quantization
• Deformations of anti-de Sitter black holes
• The horizon of the BTZ black hole
• Black holes in symmetric spaces : anti-de Sitter spaces
• Holographic Entanglement Entropy and the (3+1)-dimensional Topological Black Hole
• BTZ black hole from the structure of the algebra so(2,n)