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Minimal $D = 4$ $\mathcal{N} = 2$ supergravity from $D = 11$: An M-theory free lunch
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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.
Forward citations
Cited by 2 Pith papers
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Circle compactifications of Minkowski$_D$ solutions, flux vacua and solitonic branes
A 'supersymmetry generating' circle compactification technique for type II supergravity is derived and applied to construct new Minkowski flux vacua and generalized solitonic branes.
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Minimal $D=4$ truncations of type IIA
Explicit consistent truncations from massive type IIA on S^6 to minimal D=4 N=2 and N=3 gauged supergravities are constructed and verified.
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