Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation

Abstract

We holographically study supersymmetric deformations of $N=3$ and $N=1$ superconformal field theories (SCFTs) in three dimensions using four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with non-semisimple $SO(3)⋉({\mathbf{T}}^3,{\hat{\mathbf{T}}}^3)$ gauge group. This gauged supergravity can be obtained from a truncation of eleven-dimensional supergravity on a tri-sasakian manifold and admits both $N=1,3$ supersymmetric and stable non-supersymmetric $Ad{S}_4$ critical points. We analyze the BPS equations for $SO(3)$ singlet scalars in details and study possible supersymmetric solutions. A number of RG flows to non-conformal field theories and half-supersymmetric domain walls are found, and many of them can be given analytically. Apart from these "flat" domain walls, we also consider $Ad{S}_3$-sliced domain wall solutions describing two-dimensional conformal defects with $N=(1,0)$ supersymmetry within the dual $N=1$ field theory while this type of solutions does not exist in the $N=3$ case.

arXiv comment33 pages, 4 figures, references added, typos and parts of the analysis corrected with numerical solutions included

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• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• Supersymmetric solutions from N=5 gauged supergravity
• Supersymmetric solutions from N=6 gauged supergravity
• Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation
• 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
• AdS5 vacua and holographic RG flows from 5D 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
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• New Janus interfaces from four-dimensional N=3 gauged supergravity
• Supersymmetric Janus solutions in $\omega$-deformed N=8 gauged supergravity
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity