Global Properties of the Conformal Manifold for S-Fold Backgrounds

Understand

We study a one-parameter family of $\mathcal{N}=2$ anti-de Sitter vacua with ${\rm U}(1)^2$ symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group $[{\rm SO}(6)\times {\rm SO}(1,1)]\ltimes \mathbb{R}^{12}$.

• These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology $S^1\times S^5$.
• The family of AdS$_4$ vacua is parametrized by a modulus $\chi$.
• Although $\chi$ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description.