Superconformal RG interfaces in holography

Abstract

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 N $$ \mathcal{N} $$ = 4 SYM theory on one side with the N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 1 SCFTs with G 2 symmetry are also discussed and shown to have similar properties, but they also exhibit some new features.

Keywords

• AdS-CFT Correspondence
• Gauge-gravity correspondence
• Conformal Field Theory
• Supersymmetric Gauge Theory