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

TL;DR

This paper explores various vacua and RG flow solutions in N=9 three-dimensional gauged supergravity, revealing how relevant operators induce flows between different supersymmetric conformal field theories.

Contribution

It identifies new AdS vacua and constructs RG flow solutions in N=9 supergravity with diverse gauge groups, highlighting the role of a specific relevant operator.

Findings

Multiple supersymmetric and non-supersymmetric vacua found.

Analytic and numerical RG flow solutions constructed.

Flows driven by a dimension 3/2 operator connecting different CFTs.

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 $\Delta={3}{2}$. 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.