All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua

TL;DR

This paper classifies all homogeneous SU(3)-structure-based M-theory truncations to N=2 supergravity in four dimensions that admit supersymmetric AdS4 vacua, revealing new gauge groups and scalar potentials.

Contribution

It provides a comprehensive analysis of all homogeneous SU(3)-structure truncations supporting AdS4 vacua, detailing the resulting gauge groups and scalar potentials, and exploring their unique features.

Findings

Identification of all homogeneous SU(3)-structure truncations with supersymmetric AdS4 vacua.

Explicit description of N=2 models for each case including gauge groups and scalar potentials.

Discovery of non-abelian gauge groups and novel scalar potentials in these truncations.

Abstract

We study consistent truncations of M-theory to gauged N=2 supergravity in four dimensions, based on a large class of SU(3)-structures in seven dimensions. We show that the gauging involves isometries of the vector multiplet scalar manifold as well as the Heisenberg algebra and a special isometry of the hyperscalar manifold. As a result, non-abelian gauge groups and new non-trivial scalar potentials are generated. Then we specialize to all homogeneous SU(3)-structures supporting supersymmetric AdS4 vacua. These are the Stiefel manifold V52, the Aloff-Wallach spaces N(k,l), the seven-sphere (seen as SU(4)/SU(3) or Sp(2)/Sp(1)) and the M110 and Q111 coset spaces. For each of these cases, we describe in detail the N=2 model and discuss its peculiarities.