Superconformal RG interfaces in holography

Abstract

We construct gravitational solutions that holographically describe two different $d=4$ SCFTs joined together at a co-dimension one, planar RG interface and preserving $d=3$ superconformal symmetry. The RG interface joins $\mathcal{N}=4$ SYM theory on one side with the $\mathcal{N}=1$ Leigh-Strassler SCFT on the other. We construct a family of such solutions, which in general are associated with spatially dependent mass deformations on the $\mathcal{N}=4$ SYM side, but there is a particular solution for which these deformations vanish. We also construct a Janus solution with the Leigh-Strassler SCFT on either side of the interface. Gravitational solutions associated with superconformal interfaces involving ABJM theory and two $d=3$ $\mathcal{N}=1$ SCFTs with $G_2$ symmetry are also discussed and shown to have similar properties, but they also exhibit some new features.

arXiv comment33 pages, 12 pages; references added, typos fixed. Published version

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• Holographic RG flows and boundary conditions in a 3D gauged supergravity
• Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$
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• Super Yang-Mills Theories with Inhomogeneous Mass Deformations
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity