Generalised Structures for $\mathcal{N}=1$ AdS Backgrounds

Abstract

We expand upon a claim made in a recent paper [arXiv:1411.5721] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type II and M theory can be understood as satisfying a straightforward weak integrability condition in the language of $E_{d(d)}\times {\mathbb{R}}^{+}$ generalised geometry. Namely, they are spaces admitting a generalised $G$-structure set by the Killing spinor and with constant singlet generalised intrinsic torsion.

12 pages

References in corpus (7)

• Generalised Geometry for M-Theory
• AdS_6 solutions of type II supergravity
• Gravity duals to deformed SYM theories and Generalized Complex Geometry
• Supersymmetric Backgrounds and Generalised Special Holonomy
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• Foliated eight-manifolds for M-theory compactification
• Spin(7)-manifolds in compactifications to four dimensions

Cited by in corpus (13)

• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Supersymmetric AdS backgrounds and weak generalised holonomy
• Moduli identification methods in Type II compactifications
• AdS${}_5$ vacua from type IIB supergravity on $T^{1,1}$
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes
• G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
• Higher curvature Bianchi identities, generalised geometry and $L_{\infty }$ algebras
• Supergravity Fluxes and Generalised Geometry
• Flux Backgrounds and Exceptional Generalised Geometry