AdS spacetimes from wrapped M5 branes

Abstract

We derive a complete geometrical characterisation of a large class of $Ad{S}_3$, $Ad{S}_4$ and $Ad{S}_5$ supersymmetric spacetimes in eleven-dimensional supergravity using G-structures. These are obtained as special cases of a class of supersymmetric ${\mathbb{R}}^{1,1}$, ${\mathbb{R}}^{1,2}$ and ${\mathbb{R}}^{1,3}$ geometries, naturally associated to M5-branes wrapping calibrated cycles in manifolds with $G_2$, SU(3) or SU(2) holonomy. Specifically, the latter class is defined by requiring that the Killing spinors satisfy the same set of projection conditions as for wrapped probe branes, and that there is no electric flux. We show how the R-symmetries of the dual field theories appear as isometries of the general AdS geometries. We also show how known solutions previously constructed in gauged supergravity satisfy our more general G-structure conditions, demonstrate that our conditions for half-BPS $Ad{S}_5$ geometries are precisely those of Lin, Lunin and Maldacena, and construct some new singular solutions.

1+56 pages, LaTeX; v2, references added; v3, minor corrections, final version to appear in JHEP

References in corpus (13)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• 1/2-BPS states in M theory and defects in the dual CFTs
• AdS spacetimes from wrapped M5 branes
• Bubbling Defect CFT's
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• Supersymmetric AdS_3 solutions of type IIB supergravity
• Comments on AdS2 solutions of D=11 Supergravity
• New supersymmetric AdS_3 solutions
• Branes, Calibrations and Supergravity
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• IIB backgrounds with five-form flux
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Cited by in corpus (14)

• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• 1/2-BPS states in M theory and defects in the dual CFTs
• AdS spacetimes from wrapped M5 branes
• New supersymmetric AdS_3 solutions
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• String duals of two-dimensional (4,4) supersymmetric gauge theories
• Holography of BPS surface operators
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• AdS4 flux vacua in type II superstrings and their domain-wall solutions
• AdS spacetimes from wrapped D3-branes
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
• Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics