2007/03/29 by Pau Figueras, Oisin A. P. Mac Conamhna, Oisín A. P. Mac Conamhna +2 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Conformal map #Cosmology and Gravitation Theories #Gauged supergravity #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.76.046007
published as Phys.Rev.D76:046007,2007 · 1+48 pages, 1 figure
arxiv created 2007/03/29 · openalex publication_date 2007/08/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the global geometry of a general class of spacetimes of relevance to the supersymmetric three-dimensional anti--de Sitter space/two-dimensional conformal field theory (AdS3/CFT2) correspondence in 11-dimensional supergravity. Specifically, we study spacetimes admitting a globally defined ℝ1,1 frame, a globally defined frame bundle with structure group contained in Spin(7), and an AdS3 event horizon or conformal boundary. We show how the global frame bundle may be canonically realized by globally defined null sections of the spin bundle, which we use to truncate 11-dimensional supergravity to a gravitational theory of a frame with structure group Spin(7), SU(4), or Sp(2). By imposing an AdS3 boundary condition on the truncated supergravity equations, we define the geometry of all AdS3 horizons or boundaries which can be obtained from solutions of these truncations. In the most generic case we study, we reproduce the most general conditions for an AdS3 manifold in M-theory to admit a Killing spinor. As a consistency check on our definitions of AdS geometries we verify that they are satisfied by known gauged supergravity AdS3 solutions. We discuss future applications of our results.