Holographic RG flows of 3d ${\mathcal N} = 2$ supergravity model

We study holographic RG flows in a 3d supergravity model with a scalar field (dilaton) and its potential in terms of dynamical system theory. The gravity equations of motion are reduced to an autonomous dynamical system. Its equilibrium points are analyzed for stability and asymptotic solutions are restored therein. We show that some solutions can be interpreted as fixed points of a dual field theory and that there are RG flows between an unstable UV fixed point and a stable IR fixed point.