Generalized geometric vacua with eight supercharges

Abstract

We investigate compactifications of type II and M-theory down to $Ad{S}_5$ with generic fluxes that preserve eight supercharges, in the framework of Exceptional Generalized Geometry. The geometric data and gauge fields on the internal manifold are encoded in a pair of generalized structures corresponding to the vector and hyper-multiplets of the reduced five-dimensional supergravity. Supersymmetry translates into integrability conditions for these structures, generalizing, in the case of type IIB, the Sasaki-Einstein conditions. We show that the ten and eleven-dimensional type IIB and M-theory Killing-spinor equations specialized to a warped $Ad{S}_5$ background imply the generalized integrability conditions.

arXiv comment38 pages

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Cited by in corpus (7)

• Exactly marginal deformations from exceptional generalised geometry
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• AdS${}_5$ vacua from type IIB supergravity on $T^{1,1}$
• Exceptional complex structures and the hypermultiplet moduli of 5d Minkowski compactifications of M-theory