Type II origin of dyonic gaugings

TL;DR

This paper demonstrates how certain dyonic gaugings in four-dimensional supergravity can be derived from higher-dimensional Type II supergravity through generalized reductions, providing explicit uplift examples including a supersymmetric AdS4 S-fold solution.

Contribution

It introduces a method to embed dyonic gaugings with specific gauge groups into Type II supergravity using generalized Scherk-Schwarz reductions, revealing their higher-dimensional origin.

Findings

Explicit uplift of N=4 AdS4 vacuum into IIB supergravity.

Construction of a supersymmetric AdS4 S-fold solution.

Identification of internal space as a squashed S^5 with specific symmetries.

Abstract

Dyonic gaugings of four-dimensional supergravity typically exhibit a richer vacuum structure compared to their purely electric counterparts, but their higher-dimensional origin often remains more mysterious. We consider a class of dyonic gaugings with gauge groups of the type (SO(p,q)xSO(p',q'))$\ltimes N$ with $N$ nilpotent. Using generalized Scherk-Schwarz reductions of exceptional field theory, we show how these four-dimensional gaugings may be consistently embedded in Type II supergravity upon compactification around products of spheres and hyperboloids. As an application, we give the explicit uplift of the N=4 AdS$_4$ vacuum of the theory with gauge group (SO(6)xSO(1,1))$\ltimes T^{12}$ into a supersymmetric AdS$_4$x$M_5$x$S^1$ S-fold solution of IIB supergravity. The internal space $M_5$ is a squashed $S^5$ preserving an SO(4)$ \subset $ SO(6) subset of its isometries.