Vacua and RG flows in N=9 three dimensional gauged supergravity

Abstract

We study some vacua of N=9 three dimensional gauged supergravity. The theory contains sixteen scalar fields parametrizing the exceptional coset space $F_{4(-20)}SO(9)$. Various AdS supersymmetric and some non-supersymmetric vacua are found in both compact and non-compact gaugings with gauge groups $SO(p)\times SO(9-p)$ for $p=0,1,2,3,4$, $G_{2(-14)}\times SL(2)$ and $Sp(1,2)\times SU(2)$. We also study many RG flow solutions, both analytic and numerical, interpolating between supersymmetric critical points in this theory. All the flows considered here are driven by a relevant operator of dimension $\Delta =32$. This operator breaks conformal symmetry as well as supersymmetry and drives the CFT in the UV to another CFT in the IR with lower supersymmetries.

30 pp. 6 figures, references and new information added

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