BPS domain walls in N=4 supergravity and dual flows

TL;DR

This paper derives conditions for supersymmetric domain wall solutions in five-dimensional N=4 supergravity and applies them to study dual RG flows in string theory, including universal and baryonic branch flows.

Contribution

It formulates BPS first-order equations for N=4 supergravity domain walls and applies these to specific IIB supergravity truncations, revealing new dual flow solutions.

Findings

Universal flow deforming superconformal theories on D3-branes

Superpotential for baryonic branch of Klebanov-Strassler

Superpotential for D3 and D5-branes on resolved conifold

Abstract

We establish the conditions for supersymmetric domain wall solutions to N=4 gauged supergravity in five dimensions. These read as BPS first-order equations for the warp factor and the scalar fields, driven by a superpotential and supplemented by a set of constraints that we specify in detail. Then we apply our results to certain consistent truncations of IIB supergravity, thus exploring their dual field theory renormalization group flows. We find a universal flow deforming superconformal theories on D3-branes at Calabi-Yau cones. Moreover, we obtain a superpotential for the solution corresponding to the baryonic branch of the Klebanov-Strassler theory, as well as the superpotential for the flow describing D3 and wrapped D5-branes on the resolved conifold.