Global geometry of the supersymmetric AdS3/CFT2 correspondence in M-theory

Pau Figueras, Oisín A.P. Mac Conamhna, Eoin Ó Colgáin

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number046007
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number4
DOIs
Publication statusPublished - 17 Aug 2007
Externally publishedYes

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