We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS₄ J-fold solutions preserving \( \mathcal{N} \) = 2 supersymmetry. All solutions preserve \( \mathfrak{u} \)(1) × \( \mathfrak{u} \)(1) global symmetry and in special limits we recover the previously known \( \mathfrak{su} \)(2) × \( \mathfrak{u} \)(1) invariant \( \mathcal{N} \) = 2 and \( \mathfrak{su} \)(2) × \( \mathfrak{su} \)(2) invariant \( \mathcal{N} \) = 4 J-fold solutions. This family of AdS₄ backgrounds can be uplifted to type IIB string theory and is holographically dual to the conformal manifold of a class of three-dimensional S-fold SCFTs obtained from the \( \mathcal{N} \) = 4 T [U(N)] theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS₄ solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings.

我们采用四维最大超重力的非紧凑测量来构建 AdS ₄ J 折叠解决方案的两个参数系列，并保留\( \mathcal{N} \) = 2 超对称性。所有解决方案都保留了\( \mathfrak{u} \) (1) × \( \mathfrak{u} \) (1) 全局对称性，并且在特殊限制中我们恢复了先前已知的\( \mathfrak{su} \) (2 ) × \( \mathfrak{u} \) (1) 不变量\( \mathcal{N} \) = 2 and \( \mathfrak{su} \) (2) × \( \mathfrak{su} \) ( 2) 不变\( \mathcal{N} \) = 4 J-fold 解。这一系列的 AdS ₄背景可以提升为 IIB 型弦理论，并且与从\( \mathcal{N} \) = 4 T [U( N )] 理论获得的一类三维S折叠 SCFT的共形流形全息对偶Gaiotto-Witten。我们找到了 AdS ₄解决方案的超重力激发谱，并用它来研究三维 SCFT 的算子谱如何取决于恰好的边际耦合。