Marginal deformations and RG flows for type IIB S-folds

We construct a continuous one parameter family of AdS₄× S¹× S⁵ S-fold solutions of type IIB string theory which have nontrivial SL(2, ℤ) monodromy in the S¹ direction. The solutions span a subset of a conformal manifold that contains the known N = 4 S-fold SCFT in d = 3, and generically preserve N = 2 supersymmetry. We also construct RG flows across dimensions, from AdS₅× S⁵, dual to N = 4, d = 4 SYM compactified with a twisted spatial circle, to various AdS₄ × S¹ × S⁵ S-fold solutions, dual to d = 3 SCFTs. We construct additional flows between the AdS₅ dual of the Leigh-Strassler SCFT and an N = 2 S-fold as well as RG flows between various S-folds.