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

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.

arXiv commentv2: Minor change of title, new paragraph in the discussion section and references added. Version to be published in JHEP

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Cited by in corpus (8)

• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• Rotating Black Hole Entropy from M5-branes
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• Super-Chern-Simons spectra from Exceptional Field Theory
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• Wrapped $M5$-branes and complex saddle points