M-theory compactification, fluxes and AdS_4

Abstract

We analyze supersymmetric solutions of M-theory based an a seven-dimensional internal space with SU(3) structure and a four-dimensional maximally symmetric space. The most general supersymmetry conditions are derived and we show that a non-vanishing cosmological constant requires the norms of the two internal spinors to differ. We find explicit local solutions with singlet flux and the space being a warped product of a circle, a nearly-Kahler manifold and AdS_4. The embedding of solutions into heterotic M-theory is also discussed.

25 pages, Latex, references added

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Cited by in corpus (34)

• Generalized structures of N=1 vacua
• M-theory, exceptional generalised geometry and superpotentials
• Supersymmetric AdS(4) compactifications of IIA supergravity
• Heterotic on Half-flat
• Effective action of (massive) IIA on manifolds with SU(3) structure
• AdS spacetimes from wrapped M5 branes
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• M-theory Compactifications on Manifolds with G2 Structure
• Classification of Supersymmetric Flux Vacua in M Theory
• Supersymmetric Backgrounds and Generalised Special Holonomy
• M-theory on seven-dimensional manifolds with SU(3) structure
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• G-structures and Domain Walls in Heterotic Theories
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• AdS spacetimes from wrapped D3-branes
• Supersymmetric AdS Backgrounds in String and M-theory
• The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
• Null structure groups in eleven dimensions
• Generalised Structures for $\mathcal{N}=1$ AdS Backgrounds
• Flux Superpotential in Heterotic M-theory
• Eight-manifolds with G-structure in eleven dimensional supergravity
• The geometry of extended null supersymmetry in M-theory
• G_2 Domain Walls in M-theory
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Weak $G_2$-manifolds and scale separation in M-theory from type IIA backgrounds
• Type IIA Killing spinors and calibrations
• Aspects of moduli stabilisation in string and M-theory
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• Generalized Compactification in Heterotic String Theory
• Choices of spinor inner products on M-theory backgrounds
• Supergravity Fluxes and Generalised Geometry
• Gravity and induced matter on Nearly Kahler Manifolds
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics