Minimal $D = 4$ $\mathcal{N} = 2$ supergravity from $D = 11$: An M-theory free lunch
Abstract
We present a new consistent truncation of supergravity to minimal gauged supergravity, on the seven-dimensional internal Riemannian space corresponding to the most general class of solutions with an AdS factor and supersymmetry. A truncation ansatz is proposed and its consistency checked at the level of the Bianchi identity, bosonic equations of motion, and supersymmetry variations of the gravitino. The general class includes an AdS 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.
Keywords
Cite
@article{arxiv.1907.11027,
title = {Minimal $D = 4$ $\mathcal{N} = 2$ supergravity from $D = 11$: An M-theory free lunch},
author = {Gabriel Larios and Oscar Varela},
journal= {arXiv preprint arXiv:1907.11027},
year = {2020}
}
Comments
v2: Minor change of title, new paragraph in the discussion section and references added. Version to be published in JHEP