AdS${}_9$ solutions in type II supergravities

Abstract

We present new solutions in type II supergravities describing AdS${}_9$ geometries warped over an interval. In type IIB, we construct an analytic family of backgrounds supported by a non-trivial axio-dilaton profile. Despite the presence of strong-coupling singularities at both ends of the interval, these solutions exhibit both a finite Euclidean on-shell action and a finite holographic central charge. Moreover, they possess a ${\mathbb{Z}}_2$ symmetry under which the axion transforms as $C_0\to -C_0$. We also investigate AdS${}_9$ backgrounds in massive IIA supergravity supported by the Romans mass and the dilaton. Numerical integration reveals solutions with a strong-coupling singularity whose asymptotic behavior is consistent with the characteristic D8/O8 profile. In contrast to the type IIB case, our analysis indicates that the Euclidean on-shell action diverges. Finally, we identify a family of perturbative dS${}_9$ solutions in massive IIA supergravity.

8 pages, 5 figures. v2: refs. added