Marginal deformations and RG flows for type IIB S-folds
Igal Arav, Jerome P. Gauntlett, Matthew M. Roberts, Christopher Rosen
Abstract
A bstract We construct a continuous one parameter family of AdS 4 × S 1 × S 5 S-fold solutions of type IIB string theory which have nontrivial SL(2 , ℤ) monodromy in the S 1 direction. The solutions span a subset of a conformal manifold that contains the known $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 S-fold SCFT in d = 3, and generically preserve $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 supersymmetry. We also construct RG flows across dimensions, from AdS 5 × S 5 , dual to $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4, d = 4 SYM compactified with a twisted spatial circle, to various AdS 4 ×S 1 ×S 5 S-fold solutions, dual to d = 3 SCFTs. We construct additional flows between the AdS 5 dual of the Leigh-Strassler SCFT and an $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 S-fold as well as RG flows between various S-folds.