Consistent reductions from D=11 beyond Sasaki-Einstein

TL;DR

This paper extends consistent truncations of D=11 supergravity to include more general M6 manifolds, leading to new non-supersymmetric AdS5 backgrounds and insights into the G-structure of internal spaces.

Contribution

It introduces a novel consistent truncation to D=5 N=4 gauged supergravity for specific M6 manifolds, expanding the landscape of known solutions.

Findings

Constructed two new classes of AdS5 M-theory backgrounds.

Extended truncation ansatz from type IIB to M-theory.

Provided insights into G-structure of internal M6 geometries.

Abstract

The most general class of warped AdS5 x M6 supersymmetric solutions in D=11 supergravity permit a consistent truncation to D=5 N=2 minimal gauged supergravity. Here we extend this truncation, for a particular subclass of M6 manifolds, to D=5 N=4 gauged supergravity coupled to two vector multiplets. We obtain the reduction ansatz by T-duality of a recently discussed type IIB truncation on a generic Sasaki-Einstein five-fold, which becomes non-trivial in D=11 and displays non-standard features due to the G-structure of the internal M6. Using this truncation, we construct two new classes of warped and unwarped non-supersymmetric AdS5 M-theory backgrounds. We also comment on possible extensions of the reduction ansatz to the general class of M6 geometries.