Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory

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dc.creatorFigueras, Pau
dc.creatorMac Conamhna, Oisin A. P.
dc.creatorColgain, Eoin O
dc.date2007-03-29
dc.date.accessioned2026-07-07T11:59:48Z
dc.date.available2026-07-07T11:59:48Z
dc.descriptionWe study the global geometry of a general class of spacetimes of relevance to the supersymmetric $AdS_3/CFT_2$ correspondence in eleven-dimensional supergravity. Specifically, we study spacetimes admitting a globally-defined $\mathbb{R}^{1,1}$ frame, a globally-defined frame bundle with structure group contained in Spin(7), and an $AdS_3$ event horizon or conformal boundary. We show how the global frame bundle may be canonically realised by globally-defined null sections of the spin bundle, which we use to truncate eleven-dimensional supergravity to a gravitational theory of a frame with structure group Spin(7), SU(4) or Sp(2). By imposing an $AdS_3$ boundary condition on the truncated supergravity equations, we define the geometry of all $AdS_3$ 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 $AdS_3$ 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 $AdS_3$ solutions. We discuss future applications of our results.
dc.description1+48 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0703275
dc.identifierhttp://arxiv.org/abs/hep-th/0703275
dc.identifierPhys.Rev.D76:046007,2007
dc.identifierdoi:10.1103/PhysRevD.76.046007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206694
dc.subjectHigh Energy Physics - Theory
dc.titleGlobal geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
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