# Minimal $D = 4$ $\mathcal{N} = 2$ supergravity from $D = 11$: An M-theory free lunch

## TL;DR

This paper introduces a new consistent way to reduce eleven-dimensional supergravity to four-dimensional minimal gauged supergravity, covering a broad class of solutions with AdS4 and N=2 supersymmetry, simplifying the study of related M-theory backgrounds.

## Contribution

It provides a novel truncation ansatz for D=11 supergravity to D=4 N=2 minimal gauged supergravity, verified through multiple consistency checks and applicable to a wide class of solutions.

## Key findings

- Derived a consistent truncation ansatz for supergravity reduction.
- Validated the ansatz via Bianchi identities, equations of motion, and supersymmetry variations.
- Included solutions dual to deformations of M2-brane field theories.

## Abstract

We present a new consistent truncation of $D=11$ supergravity to $D=4$ $\mathcal{N}=2$ minimal gauged supergravity, on the seven-dimensional internal Riemannian space corresponding to the most general class of $D=11$ solutions with an AdS$_{4}$ factor and $\mathcal{N}=2$ supersymmetry. A truncation ansatz is proposed and its consistency checked at the level of the $D=11$ Bianchi identity, bosonic equations of motion, and supersymmetry variations of the gravitino. The general class includes an $\mathcal{N}=2$ AdS$_{4}$ solution dual to the conformal, low-energy physics phase corresponding to a mass deformation of the M2-brane field theory. A consistent truncation recently constructed on this particular geometry is recovered from our formalism.