N=2 supersymmetric AdS_4 solutions of M-theory

Abstract

We analyse the most general N=2 supersymmetric solutions of D=11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold Y_7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y_7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes. We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ODE. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS_4 x S^7 solution with non-trivial four-form flux.

50 pages, 2 figures; v2: typos fixed, some intermediate formulas added to improve clarity, references added

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Notes on SUSY Gauge Theories on Three-Sphere
• Sasaki-Einstein Manifolds and Volume Minimisation
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Obstructions to the Existence of Sasaki-Einstein Metrics
• AdS spacetimes from wrapped M5 branes
• On the generality of the LLM geometries in M-theory

Cited by in corpus (37)

• Supersymmetric spindles
• F-theory and AdS_3/CFT_2
• A note on supersymmetric AdS_6 solutions of massive type IIA supergravity
• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• The SU(3)-invariant sector of new maximal supergravity
• F-theory and AdS_3/CFT_2 (2,0)
• Rotating Black Hole Entropy from M5-branes
• 3D Supergravity from wrapped D3-branes
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• Supersymmetry of AdS and flat backgrounds in M-theory
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• Geometric algebra techniques in flux compactifications (II)
• A massive class of $\mathcal{N}=2$ AdS${}_4$ IIA solutions
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Generalised Structures for $\mathcal{N}=1$ AdS Backgrounds
• A $\mathcal{N}=2$ Supersymmetric $Ad{S}_4$ Solution in M-theory with Purely Magnetic Flux
• Geometric algebra techniques in flux compactifications
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Sasakian nilmanifolds
• Geometry and supersymmetry of heterotic warped flux AdS backgrounds
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• N = 2 supersymmetric AdS4 solutions of type IIB supergravity
• Minimal $D=4$ $\mathcal{N}=2$ supergravity from $D=11$: An M-theory free lunch
• Super-Chern-Simons spectra from Exceptional Field Theory
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• BPS M5-branes as Defects for the 3d-3d Correspondence
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• Mink${}_3\times S^3$ solutions of type II supergravity
• Infinite and finite consistent truncations on deformed generalised parallelisations
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Klebanov-Witten flows in M-theory
• The TCFHs of D=11 AdS backgrounds and hidden symmetries
• Wrapped $M5$-branes and complex saddle points