AdS${}_{\mathbf{\text{2}}}$ solutions and their massive IIA origin

We consider warped ${\mathrm{A}\mathrm{d}\mathrm{S}}_2\times {\mathcal{M}}_4$ backgrounds within $F(4)$ gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by ${\text{AdS}}_6$ asymptotics and an ${\mathcal{M}}_4$ given by a three-sphere warped over a segment. Subsequently, we provide the 10D uplift of the solutions to massive type IIA supergravity, where the geometry is $$\mathrm{A}\mathrm{d}\mathrm{S}$_2\times S^{3}\times\tilde{S}^3$ warped over a strip. Finally we construct the brane intersection underlying one of these supergravity backgrounds. The explicit setup involves a D0-F1-D4 bound state intersecting a D4-D8 system.