$N=(2,0)$ AdS${}_3$ Solutions of M-theory

Abstract

We consider the most general solutions of eleven-dimensional supergravity preserving $N=2$ supersymmetry whose metrics are warped products of three-dimensional anti-de Sitter space with an eight-dimensional manifold, focusing on those realising (2,0) superconformal symmetry. We give a set of necessary and sufficient conditions for a solution to be supersymmetric, which can be phrased, in the general case, in terms of a local SU(2) structure and its intrinsic torsion. We show that these supergravity backgrounds always admit a nowhere-vanishing Killing vector field that preserves the solution and encodes the U(1) R-symmetry of the dual field theory. We illustrate our results with examples which have appeared in the literature, including those with SU(4), G${}_2$ and SU(3) structures, and discuss new classes of Minkowski solutions.

arXiv comment40 pages plus appendices; submission includes two Mathematica notebooks; v2: references added; v3: version accepted for publication

References in corpus (81)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• M Theory, Orientifolds and G-Flux
• M-Theory on Eight-Manifolds
• The Exact Superconformal R-Symmetry Maximizes a
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The Exact Superconformal R-Symmetry Extremizes Z
• What if string theory has no de Sitter vacua?
• Superstrings with Intrinsic Torsion
• G-Structures and Wrapped NS5-Branes
• Supersymmetric AdS_5 solutions of M-theory
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Exact two-dimensional superconformal R-symmetry and c-extremization
• M-Fivebranes Wrapped on Supersymmetric Cycles
• G-Structures, Fluxes and Calibrations in M-Theory
• AdS(3) Solutions of IIB Supergravity from D3-branes
• The tension between 10D supergravity and dS uplifts
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• Supersymmetry Breaking by Fluxes
• Uplifting Runaways
• Exact Half-BPS Flux Solutions in M-theory I, Local Solutions
• Two-dimensional SCFTs from D3-branes
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• AdS spacetimes from wrapped M5 branes
• Control issues of KKLT
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• F-theory and AdS_3/CFT_2
• Supersymmetric AdS_3 solutions of type IIB supergravity
• Comments on AdS2 solutions of D=11 Supergravity
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• A Note on Compactifications on Spin(7)-Holonomy Manifolds
• A geometric dual of $c$-extremization
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• New supersymmetric AdS_3 solutions
• The quantum swampland
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• F-theory and AdS_3/CFT_2 (2,0)
• AdS Solutions Through Transgression
• AdS${}_3$ solutions with exceptional supersymmetry
• N=2 supersymmetric AdS_4 solutions of M-theory
• 3D supergravity from wrapped M5-branes
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• No-scale and scale-separated flux vacua from IIA on G2 orientifolds
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized Spin(7) structures
• Toric geometry and the dual of $c$-extremization
• Supersymmetric Backgrounds and Generalised Special Holonomy
• Searching for surface defect CFTs within AdS${}_3$
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Large superconformal near-horizons from M-theory
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• Fibred GK geometry and supersymmetric $AdS$ solutions
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• On supersymmetric AdS${}_3$ solutions of Type II
• Supersymmetry, G-flux and Spin(7) manifolds
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Geometric algebra techniques in flux compactifications (II)
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• AdS${}_3$ from M-branes at conical singularities
• On AdS${}_3$ solutions of Type IIB
• Foliated eight-manifolds for M-theory compactification
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• Geometric algebra techniques in flux compactifications
• The geometry of extended null supersymmetry in M-theory
• Generalized Geometry in AdS/CFT and Volume Minimization
• SUSY properties of warped AdS${}_3$
• Geometry and supersymmetry of heterotic warped flux AdS backgrounds
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Superpotential of Three Dimensional $\mathcal{N}=1$ Heterotic Supergravity
• Consistent truncations to 3-dimensional supergravity
• M-theory Compactifications to Three Dimensions with M2-brane Potentials
• M-theory on non-Kähler manifolds
• Foliated backgrounds for M-theory compactifications (I)

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