Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs

Abstract

With the purpose of holographically describing flows from a large family of four dimensional $\mathcal{N}=1$ and $\mathcal{N}=2$ conformal field theories, we discuss truncations of seven dimensional supergravity to five dimensions. We write explicitly the reduced gauged supergravity and find BPS equations for simple configurations. Lifting these flows to eleven dimensions or Massive IIA supergravity, we present string duals to RG flows from strongly coupled conformal theories when deformed by marginal and/or relevant operators. We further discuss observables common to infinite families of $\mathcal{N}=1$ and $\mathcal{N}=2$ QFTs in this context.

arXiv comment28 pages plus appendixes. JHEP version

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Cited by in corpus (11)

• Wilson loops in 5d long quiver gauge theories
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Holographic description of SCFT${}_5$ compactifications
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• The higher-dimensional origin of five-dimensional $\mathcal{N}=2$ gauged supergravities
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• AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity
• Wrapped M5-branes and AdS${}_5$ Black Holes
• Vacua scan of $5d$, $N=2$ consistent truncations
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity