Flat deformations of type IIB S-folds

Abstract

Type IIB S-folds of the form ${\text{AdS}}_4\times {\text{S}}^1\times {\text{S}}^5$ have been shown to contain axion-like deformations parameterising flat directions in the 4D scalar potential and corresponding to marginal deformations of the dual S-fold CFT's. In this note we present a group-theoretical characterisation of such flat deformations and provide a 5D interpretation thereof in terms of $\mathfrak{so}(6)$-valued duality twists inducing a class of Cremmer--Scherk--Schwarz flat gaugings in a reduction from 5D to 4D. In this manner we establish the existence of two flat deformations for the $\mathcal{N}=4$ and $\text{SO}(4)$ symmetric S-fold causing a symmetry breaking down to its $\text{U}(1{)}^2$ Cartan subgroup. The result is a new two-parameter family of non-supersymmetric S-folds which are perturbatively stable at the lower-dimensional supergravity level, thus providing the first examples of such type IIB backgrounds.

17 pages, 1 figure

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Cited by in corpus (8)

• Holographic Evidence for Non-Supersymmetric Conformal Manifolds
• New Supersymmetric String Theories from Discrete Theta Angles
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• S-folds and $Ad{S}_3$ flows from the D3-brane
• $\mathcal{N}=1$ S-fold spectroscopy
• Bubble instability of mIIA on ${\mathrm{AdS}}_4\times S^6$