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∗ 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 AdS4× S1× S5 solution of type IIB supergravity.
Highlights
Mass deformations of N = 4 d = 4 SYM theory that preserve some supersymmetry have been extensively studied and are associated with rich dynamical features under RG flow
We study mass deformations of N = 4, d = 4 SYM theory that are spatially modulated in one spatial dimension and preserve some residual supersymmetry
We focus on generalisations of N = 1∗ theories and show that it is possible, for suitably chosen supersymmetric masses, to preserve d = 3 conformal symmetry associated with a codimension one interface
Summary
In this paper we will show that there are interesting new supersymmetric Janus configurations of N = 4 SYM theory that arise from spatially modulated fermion and boson mass deformations but with the same coupling constant and theta angle on either side of the interface. Note that the choice of the matrix M breaks the SU(2)R R-symmetry of the homogeneous deformations down to a U(1)R This is expected since the spatially deformed solution preserves N = 2 Poincaré supersymmetry in d = 3 and so we expect an SO(2) = U(1).
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