Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM

Abstract

We study mass deformations of $\mathcal{N}=4$, $d=4$ SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry. We focus on generalisations of $\mathcal{N}=1^{\ast }$ theories and show that it is also possible, for suitably chosen supersymmetric masses, to preserve $d=3$ conformal symmetry associated with a co-dimension one interface. Holographic solutions can be constructed using $D=5$ theories of gravity that arise from consistent truncations of $SO(6)$ gauged supergravity and hence type IIB supergravity. For the mass deformations that preserve $d=3$ superconformal symmetry we construct a rich set of Janus solutions of $\mathcal{N}=4$ SYM theory which have the same coupling constant on either side of the interface. Limiting classes of these solutions give rise to RG interface solutions with $\mathcal{N}=4$ SYM on one side of the interface and the Leigh-Strassler (LS) SCFT on the other, and also to a Janus solution for the LS theory. Another limiting solution is a new supersymmetric $Ad{S}_4\times S^1\times S^5$ solution of type IIB supergravity.

arXiv comment78 pages, 19 figures. Minor changes, references added

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• AdS Euclidean wormholes
• The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs
• S-folds and holographic RG flows on the D3-brane
• Leigh-Strassler compactified on a spindle
• Marginal deformations and RG flows for type IIB S-folds
• Janus and RG-flow interfaces in three-dimensional gauged supergravity
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• A new family of $Ad{S}_4$ S-folds in type IIB string theory
• S-folds and $Ad{S}_3$ flows from the D3-brane
• Holographic CFTs on $Ad{S}_d\times S^n$ and conformal defects