Marginal deformations and RG flows for type IIB S-folds

TL;DR

This paper constructs a family of type IIB S-fold solutions with nontrivial monodromy, explores their place in the conformal manifold, and studies RG flows connecting higher and lower-dimensional theories, revealing new dualities and supersymmetry structures.

Contribution

It introduces a continuous family of $AdS_4$ S-fold solutions with $SL(2,Z)$ monodromy and maps RG flows between $AdS_5$ and $AdS_4$ S-folds, expanding understanding of conformal manifolds and dualities.

Findings

Constructed a one-parameter family of $AdS_4$ S-fold solutions.

Identified RG flows from $AdS_5$ to $AdS_4$ S-folds.

Connected Leigh-Strassler SCFT to $ ext{S-fold}$ solutions.

Abstract

We construct a continuous one parameter family of $AdS_4\times S^1\times S^5$ S-fold solutions of type IIB string theory which have nontrivial $SL(2,\mathbb{Z})$ monodromy in the $S^1$ direction. The solutions span a subset of a conformal manifold that contains the known $\mathcal{N}=4$ S-fold SCFT in $d=3$, and generically preserve $\mathcal{N}=2$ supersymmetry. We also construct RG flows across dimensions, from $AdS_5\times S^5$, dual to $\mathcal{N}=4$, $d=4$ SYM compactified with a twisted spatial circle, to various $AdS_4\times S^1\times S^5$ S-fold solutions, dual to $d=3$ SCFTs. We construct additional flows between the $AdS_5$ dual of the Leigh-Strassler SCFT and an $\mathcal{N}=2$ S-fold as well as RG flows between various S-folds.