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.
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Arav, I., Cheung, K.C.M., Gauntlett, J.P. et al. Spatially modulated and supersymmetric mass deformations of \( \mathcal{N} \) = 4 SYM. J. High Energ. Phys. 2020, 156 (2020). https://doi.org/10.1007/JHEP11(2020)156
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DOI: https://doi.org/10.1007/JHEP11(2020)156