Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity

Abstract

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$ symmetry and admits two $N=2$ supersymmetric $Ad{S}_7$ vacua with $SO(4)$ and $SO(3{)}_{\text{diag}}\subset SO(3)\times SO(3)$ symmetries. We consider solutions interpolating between two asymptotically locally $Ad{S}_7$ geometries in the presence of a three-form field. For a particular value of the two $SO(3)$ gauge coupling constants, the $SO(3{)}_{\text{diag}}$ supersymmetric $Ad{S}_7$ vacuum does not exist, but the solutions can be uplifted to eleven dimensions by a known reduction ansatz. We also study solutions of this type and their embedding in M-theory. We further extend these solutions to include the $SO(3{)}_{\text{diag}}$ gauge fields and argue that, in general, this generalization does not lead to supersymmetric solutions.

arXiv comment22 pages, no figure, typos corrected, minor changes

References in corpus (19)

• Supergravity description of field theories on curved manifolds and a no go theorem
• All AdS_7 solutions of type II supergravity
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Holography for (1,0) theories in six dimensions
• Membranes and Fivebranes with Lower Supersymmetry and their AdS Supergravity Duals
• Exact Embedding of N=1, D=7 Gauged Supergravity in D=11
• Supersymmetric AdS_7 backgrounds in half-maximal supergravity and marginal operators of (1,0) SCFTs
• A Supergravity Dual of a (1,0) Field Theory in Six Dimensions
• AdS${}_7$/CFT${}_6$ with orientifolds
• 6d surface defects from massive type IIA
• BPS objects in D=7 supergravity and their M-theory origin
• A new 6d fixed point from holography
• Noncompact gaugings, chiral reduction and dual sigma models in supergravity
• Orbifolds AdS_7xS^4 and Six Dimensional (0, 1) SCFT
• RG flows in 6D N=(1,0) SCFT from SO(4) half-maximal 7D gauged supergravity
• The Operator Spectrum of the Six-dimensional (1,0) Theory
• N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions
• RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions
• Noncompact gauging of N=2 7D supergravity and AdS/CFT holography

Cited by in corpus (8)

• AdS${}_{\text{2}}$ solutions and their massive IIA origin
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• Supersymmetric domain walls in 7D maximal gauged supergravity
• Supersymmetric solutions of 7D maximal gauged supergravity
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• ${\text{AdS}}_3$ vacua and surface defects in massive IIA