BPS domain walls in N=4 supergravity and dual flows

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.

42 pages, 1 figure. v2: minor changes, matches published version

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• Form factors at strong coupling via a Y-system
• Gauged N=4 supergravities
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
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• Comments on the String dual to N=1 SQCD
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• Conifolds and Geometric Transitions
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Supersymmetric massive truncations of IIb supergravity on Sasaki-Einstein manifolds
• N=1 supersymmetric solutions of IIB supergravity

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• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Holographic RG Flows for Four-dimensional $\mathcal{N}=2$ SCFTs
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• Holographic Surface Defects in $D=5$, $N=4$ Gauged Supergravity
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
• Partial Supergravity Breaking and the Effective Action of Consistent Truncations
• AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity
• Self-Dual Tensors and Partial Supersymmetry Breaking in Five Dimensions
• A deformed conifold with a cosmological constant
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity