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

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• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
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• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• 1/2-BPS states in M theory and defects in the dual CFTs
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Properties of some conformal field theories with M-theory duals
• Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• AdS spacetimes from wrapped M5 branes
• Magnetic and electric AdS solutions in string- and M-theory
• AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces
• D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• New supersymmetric AdS_3 solutions
• Rotating Black Hole Entropy from M5-branes
• AdS Solutions Through Transgression
• N=2 supersymmetric AdS_4 solutions of M-theory
• 3D supergravity from wrapped M5-branes
• 3D Supergravity from wrapped D3-branes
• Anomalies of QFTs from M-theory and Holography
• Supergravity dual of c-extremization
• 6d surface defects from massive type IIA
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Large superconformal near-horizons from M-theory
• Holographic Uniformization
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• String duals of two-dimensional (4,4) supersymmetric gauge theories
• From 6D SCFTs to Dynamic GLSMs
• Holography of BPS surface operators
• BPS objects in D=7 supergravity and their M-theory origin
• Fibred GK geometry and supersymmetric $AdS$ solutions
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Classification, geometry and applications of supersymmetric backgrounds
• AdS4 flux vacua in type II superstrings and their domain-wall solutions
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• AdS spacetimes from wrapped D3-branes
• Equivariant localization for AdS/CFT
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Supersymmetric quantum criticality supported by baryonic charges
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• Consistent reductions from D=11 beyond Sasaki-Einstein
• Transport Coefficients of Black MQGP M3-Branes
• AdS_4 compactifications of AdS_7 solutions in type II supergravity
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• Minimal $D=4$ $\mathcal{N}=2$ supergravity from $D=11$: An M-theory free lunch
• The Backreacted Kähler Geometry of Wrapped Branes
• BPS M5-branes as Defects for the 3d-3d Correspondence
• Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• Beyond LLM in M-theory
• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• Kähler Uniformization from Holographic Renormalization Group Flows of M5-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
• M5-branes wrapped on four-dimensional orbifolds
• Wrapped $M5$-branes and complex saddle points
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics