TY - JOUR
T1 - Global geometry of the supersymmetric AdS3/CFT2 correspondence in M-theory
AU - Figueras, Pau
AU - Mac Conamhna, Oisín A.P.
AU - Ó Colgáin, Eoin
PY - 2007/8/17
Y1 - 2007/8/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34548065188&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.76.046007
DO - 10.1103/PhysRevD.76.046007
M3 - Article
AN - SCOPUS:34548065188
SN - 1550-7998
VL - 76
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 4
M1 - 046007
ER -