G2-structures for N=1 supersymmetric AdS4 solutions of M-theory

Abstract

We study the N=1 supersymmetric solutions of D=11 supergravity obtained as a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold M. Using the octonion bundle structure on M we reformulate the Killing spinor equations in terms of sections of the octonion bundle on M. The solutions then define a single complexified G2-structure on M or equivalently two real G2-structures. We then study the torsion of these G2-structures and the relationships between them.

48 pages, updated references, corrected minor errors and typos, Class. Quantum Grav. (2018)

References in corpus (11)

• Generalised Geometry for M-Theory
• Half-maximal supersymmetry from exceptional field theory
• M-theory on seven-dimensional manifolds with SU(3) structure
• Supersymmetry of AdS and flat backgrounds in M-theory
• The ${\alpha }^{\prime }$ Expansion On A Compact Manifold Of Exceptional Holonomy
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Curvature decomposition of G_2 manifolds
• Minimal flux Minkowski classification
• Supersymmetric AdS Backgrounds in String and M-theory
• Local geometry of the G2 moduli space
• N = 2 supersymmetric AdS4 solutions of type IIB supergravity

Cited by in corpus (2)

• Mink${}_3\times S^3$ solutions of type II supergravity
• Multiplet Classification of Reducible Verma Modules over the $G_2$ Algebra