Abstract
We show how to construct supersymmetric warped AdS7 vacua of massive IIA and AdS6 vacua of IIB supergravity, using “half-maximal structures” of exceptional field theory. We use this formalism to obtain the minimal consistent truncations around these AdS vacua.
Highlights
Many supersymmetric AdS vacua of 10- and 11-dimensional SUGRA are known and play a crucial role in the AdS/CFT correspondence
Unlike fluxless supersymmetric Minkowski vacua, which are described by integrable G-structures and special holonomy manifolds, supersymmetric AdS vacua require non-vanishing fluxes and are not described by integrable G-structures in Riemannian geometry
[7] proved that for each warped half-maximally supersymmetric AdSD vacuum of 10-/11-dimensional SUGRA, there exists a consistent truncation to D-dimensional half-maximal gSUGRA containing only the graviton supermultiplet, thereby proving the half-maximal case of the conjecture [28]
Summary
Many supersymmetric AdS vacua of 10- and 11-dimensional SUGRA are known and play a crucial role in the AdS/CFT correspondence. [7] proved that for each warped half-maximally supersymmetric AdSD vacuum of 10-/11-dimensional SUGRA, there exists a consistent truncation to D-dimensional half-maximal gSUGRA containing only the graviton supermultiplet, thereby proving the half-maximal case of the conjecture [28]. A further benefit of our approach is that, as shown in [7], once we have described a supersymmetric AdSD vacuum by generalised G-structures, we immediately obtain a consistent truncation of the higher-dimensional SUGRA around the AdS vacuum to the minimal D-dimensional gauged SUGRA containing only the graviton supermultiplet.
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