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

TL;DR

This paper presents a new family of supersymmetric AdS4 solutions in type IIB supergravity with a deformed internal space, including geometric and S-fold configurations, constructed via exceptional field theory uplift.

Contribution

It introduces a novel class of N=1 supersymmetric AdS4 solutions with a deformed S^5×S^1 internal space, parametrized by winding number and SL(2) duality twist, using exceptional field theory.

Findings

Solutions include both geometric and S-fold configurations.

Constructed new vacua in D=4, U(4)⋉ℝ^{12} gauged supergravity.

Analyzed D=5 Wilson loops related to gauge symmetries.

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, $U(4)\ltimes\mathbb{R}^{12}$ 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.