(Non-)Abelian Gauged Supergravities in Nine Dimensions
E. Bergshoeff, T. de Wit, U. Gran, R. Linares, D. Roest
TL;DR
This work classifies two-parameter massive deformations of the unique $D=9$, $N=2$ supergravity arising from Scherk–Schwarz reductions of higher-dimensional theories. It identifies five distinct two-parameter gauged supergravities with gauge groups $SO(2)$, $SO(1,1)^+$, ${\mathbb R}$, ${\mathbb R}^+$ and $A(1)$, arising from seven one-parameter deformations tied to $D=10$ and $D=11$ origins. The authors perform a systematic search for half-supersymmetric domain walls and non-supersymmetric de Sitter vacua, and discuss prospects for embedding these nine-dimensional theories in string theory compactifications. The results clarify how nonlinear constraints limit the deformation space and highlight the role of higher-dimensional origins in shaping viable 9D gauged supergravities.
Abstract
We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities. The gauge groups we encounter are SO(2), SO(1,1)^+, R, R^+ and the two-dimensional non-Abelian Lie group A(1), which consists of scalings and translations in one dimension. We make a systematic search for half-supersymmetric domain walls and non-supersymmetric de Sitter space solutions. Furthermore, we discuss in which sense the supergravities we have constructed can be considered as low-energy limits of compactified superstring theory.