de Sitter and S-folds in type IIB from $\mathcal{N} = 4$ $D = 4$ gauged supergravity

Abstract

In this paper, we classify the type IIB uplifts of the $\mathcal{N}=4$ $D=4$ pure $\text{SO}(4)$-gauged supergravity admitting a dS$_4$ solution. As for their AdS cousins, the internal geometries of these uplifts consist of two $S^2$ fibred over a Riemann surface $Σ$, and are classified by pairs of harmonic functions $h_{1,\,2}$ on $Σ$, providing a new family of de Sitter solutions in type IIB. Choosing specific functions $h_{1,\,2}$ on $Σ= \mathbb{R} \times I$, we perform an S-fold quotient of the internal space along its non-compact direction. This S-folding allows us to evade the assumptions of the Maldacena-Nunez no-go theorem and provides a classical de Sitter solution of type IIB supergravity with finite and non-vanishing four-dimensional effective Newton constant.