Superconformal RG interfaces in holography

TL;DR

This paper constructs holographic gravitational solutions describing superconformal interfaces between different 4D SCFTs, including N=4 SYM and Leigh-Strassler theories, revealing new features of RG interfaces in holography.

Contribution

It introduces a family of gravitational solutions for superconformal RG interfaces connecting distinct 4D SCFTs, including special cases with vanishing deformations and solutions involving ABJM and G2 symmetric theories.

Findings

Constructed solutions for interfaces between N=4 SYM and Leigh-Strassler SCFTs.

Identified a particular solution with no spatially dependent mass deformations.

Discussed similar solutions involving ABJM theory and G2 symmetric SCFTs with new features.

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.