N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions

Abstract

We construct a consistent reduction ansatz of eleven-dimensional supergravity to $N=2$ $SO(4)$ seven-dimensional gauged supergravity with topological mass term for the three-form field. The ansatz is obtained from a truncation of the $S^4$ reduction giving rise to the maximal $N=4$ $SO(5)$ gauged supergravity. Therefore, the consistency is guaranteed by the consistency of the $S^4$ reduction. Unlike the gauged supergravity without topological mass having a half-supersymmetric domain wall vacuum, the resulting 7D gauged supergravity theory admits a maximally supersymmetric $Ad{S}_7$ critical point. This corresponds to $N=(1,0)$ superconformal field theory in six dimensions. We also study RG flows from this $N=(1,0)$ SCFT to non-conformal $N=(1,0)$ Super Yang-Mills theories in the seven-dimensional framework and use the reduction ansatz to uplift this RG flow to eleven dimensions.

20 pages, no figures, typos corrected, fermionic supersymmetry transformations and more detail added

References in corpus (1)

• RG flows in 6D N=(1,0) SCFT from SO(4) half-maximal 7D gauged supergravity

Cited by in corpus (11)

• 3D supergravity from wrapped M5-branes
• Supersymmetric AdS_7 backgrounds in half-maximal supergravity and marginal operators of (1,0) SCFTs
• On AdS${}_7$ stability
• A supersymmetric reduction on the three-sphere
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions
• Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity
• Noncompact gauging of N=2 7D supergravity and AdS/CFT holography
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
• Universal consistent truncation for 6d/7d gauge/gravity duals
• Flux Backgrounds and Exceptional Generalised Geometry