Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity

Abstract

We study various supersymmetric RG flows of $N=3$ Chern-Simons-Matter theory in three dimensions by using four-dimensional $N=3$ gauged supergravity coupled to eight vector multiplets with $SO(3)\times SU(3)$ gauge group. The $Ad{S}_4$ critical point preserving the full $SO(3)\times SU(3)$ provides a gravity dual of $N=3$ superconformal field theory with flavor symmetry $SU(3)$. We study the scalar potential and identify a new supersymmetric $Ad{S}_4$ critical point preserving the full $N=3$ supersymmetry and unbroken $SO(3)\times U(1)$ symmetry. An analytic RG flow solution interpolating between $SO(3)\times SU(3)$ and $SO(3)\times U(1)$ critical points is explicitly given. We then investigate possible RG flows from these $Ad{S}_4$ critical points to non-conformal field theories in the IR. All of the singularities appearing in the IR turn out to be physically acceptable. Furthermore, we look for supersymmetric solutions of the form $Ad{S}_2\times {\Sigma }_2$ with ${\Sigma }_2$ being a two-sphere or a two-dimensional hyperbolic space and find a number of $Ad{S}_2$ geometries preserving four supercharges with $SO(2)\times SO(2)\times SO(2)$ and $SO(2)\times SO(2)$ symmetries.

29 pages, no figures, typos corrected and more details and comments added

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• Supersymmetric AdS${}_2\times {\Sigma }_2$ solutions from tri-sasakian truncation
• Twisted compactifications of 6D field theories from maximal 7D gauged supergravity
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
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• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• Gauged $\mathcal{N}=3,D=4$ Supergravity: a new web of marginally connected vacua
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