English

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

High Energy Physics - Theory 2020-01-08 v2 General Relativity and Quantum Cosmology

Abstract

We present a new consistent truncation of D=11D=11 supergravity to D=4D=4 N=2\mathcal{N}=2 minimal gauged supergravity, on the seven-dimensional internal Riemannian space corresponding to the most general class of D=11D=11 solutions with an AdS4_{4} factor and N=2\mathcal{N}=2 supersymmetry. A truncation ansatz is proposed and its consistency checked at the level of the D=11D=11 Bianchi identity, bosonic equations of motion, and supersymmetry variations of the gravitino. The general class includes an N=2\mathcal{N}=2 AdS4_{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.

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