New N=1 AdS${}_4$ solutions of type IIB supergravity

Abstract

We construct analytically a new family of supersymmetric AdS${}_4$ solutions of IIB supergravity, with the internal space provided by a deformed $S^5\times S^1$. The solutions preserve N=1 supersymmetry and an SO(3) subgroup of isometries of $S^5$, which is broken to U(1) along a flat direction. They are further parametrised by a winding number and a choice of SL(2) duality twist along the circle in an elliptic conjugacy class, thus including both globally geometric and S-fold configurations. We identify these solutions by first constructing a new family of vacua of D=4, $U(4)⋉{\mathbb{R}}^{12}$ gauged maximal supergravity and use exceptional field theory to perform the uplift to ten dimensions. We discuss the relevance of D=5 Wilson loops associated to preserved and broken gauge symmetries in the construction of these classes of solutions.

arXiv comment28 pages; v2: updated references and simplified expression of mass spectra, matches version to appear in JHEP

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• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• $\mathcal{N}=1$ S-fold spectroscopy