Supersymmetric solutions from N=6 gauged supergravity

Abstract

We study supersymmetric solutions in four-dimensional $N=6$ gauged supergravity with $SO(6)$ gauge group. There is a unique $N=6$ supersymmetric $Ad{S}_4$ vacuum with $SO(6)$ symmetry dual to an $N=6$ SCFT in three dimensions. We find a number of domain walls interpolating between this $Ad{S}_4$ vacuum and singular geometries in the IR with $SO(2)\times SO(4)$, $U(3)$, $SO(3)$ and $SO(2)\times SO(2)\times SO(2)$ symmetries. The $SO(3)$ case admits $N=6$ or $N=2$ solutions depending on whether the pseudoscalars are present or not. On the other hand, all the remaining solutions preserve $N=6$ supersymmetry. These solutions describe RG flows from the $N=6$ SCFT to non-conformal field theories driven by mass deformations. In particular, the $SO(2)\times SO(4)$ solution is in agreement with the previously known mass deformations of the dual $N=6$ SCFT. We also give a supersymmetric Janus solution with $SO(2)\times SO(4)$ symmetry, describing two-dimensional conformal defects in the $N=6$ SCFT with unbroken $N=(4,2)$ supersymmetry. Finally, we find an $N=2$ supersymmetric $Ad{S}_2\times H^2$ solution with $SO(2)\times SO(4)$ symmetry and the corresponding domain wall interpolating between this fixed point and the $Ad{S}_4$ vacuum. The solution describes an $Ad{S}_4$ black hole with a magnetic charge and is dual to a twisted compactification of the $N=6$ SCFT on a hyperbolic space $H^2$. We also give a domain wall interpolating between a locally supersymmetric $Ad{S}_4$ and a curved domain wall with $SO(2)\times SO(2)\times SO(2)$ symmetry dual to an RG flow across dimensions from the $N=6$ SCFT to a supersymmetric quantum mechanics.

36 pages, no figure, more detail and references added

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Cited by in corpus (9)

• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• New supersymmetric Janus solutions from N=4 gauged supergravity
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• Supersymmetric Janus solutions in $\omega$-deformed N=8 gauged supergravity
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• New Janus interfaces from four-dimensional N=3 gauged supergravity