Supersymmetric solutions of 7D maximal gauged supergravity

Abstract

We study a number of supersymmetric solutions in the form of $Mk{w}_3\times S^3$- and $Ad{S}_3\times S^3$-sliced domain walls in the maximal gauged supergravity in seven dimensions. These solutions require non-vanishing three-form fluxes to support the $Ad{S}_3$ and $S^3$ subspaces. We consider solutions with $SO(4)$, $SO(3)$, $SO(2)\times SO(2)$ and $SO(2)$ symmetries in $CSO(p,q,5-p-q)$, $CSO(p,q,4-p-q)$ and $SO(2,1)⋉{\mathbf{R}}^4$ gauge groups. All of these solutions can be analytically obtained. For $SO(5)$ and $CSO(4,0,1)$ gauge groups, the complete truncation ansatze in terms of eleven-dimensional supergravity on $S^4$ and type IIA theory on $S^3$ are known. We give the full uplifted solutions to eleven and ten dimensions in this case. The solutions with an $Ad{S}_3\times S^3$ slice are interpreted as two-dimensional surface defects in six-dimensional $N=(2,0)$ superconformal field theory in the case of $SO(5)$ gauge group or $N=(2,0)$ nonconformal field theories for other gauge groups. For $SO(4)$ symmetric solutions, it is possible to find solutions with both the three-form fluxes and $SO(3)$ gauge fields turned on. However, in this case, the solutions can be found only numerically. For $SO(3)$ symmetric solutions, the three-form fluxes and $SO(3)$ gauge fields cannot be non-vanishing simultaneously.

arXiv comment50 pages, 7 figures, typos corrected

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Cited by in corpus (4)

• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Generalised U-dual solutions in supergravity