Consistent truncations and G$_2$-invariant AdS$_4$ solutions of $D=11$ supergravity

TL;DR

This paper reviews consistent truncations of supergravity theories on spheres using exceptional field theory and presents three new G2-invariant AdS4 solutions with deformed seven-sphere geometries.

Contribution

It introduces new G2-invariant AdS4 solutions in eleven-dimensional supergravity derived via consistent truncations and exceptional field theory.

Findings

Derived three new G2-invariant solutions of D=11 supergravity.

Found solutions with geometry AdS4×Σ7, where Σ7 is a deformed seven-sphere.

Demonstrated the relation between different truncations using exceptional field theory.

Abstract

Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G$_2$-invariant solutions of $D=11$ supergravity. Their geometry is of the form AdS$_4\times \Sigma_7$ where $\Sigma_7$ is a deformed seven-sphere, preserving SO(7) isometries.