AdS$_{\textbf{2}}$ solutions and their massive IIA origin
Giuseppe Dibitetto, Nicolò Petri
TL;DR
This work constructs new supersymmetric warped $\mathrm{AdS}_2$ vacua within $F(4)$ gauged supergravity in six dimensions and elucidates their massive IIA origin. By exploiting a consistent truncation to 6D and deriving explicit BPS flow equations, the authors obtain two analytic $\mathrm{AdS}_2\times S^3\times I_\alpha$ solutions with $\mathrm{AdS}_6$ asymptotics, then uplift them to ten dimensions to realize $\mathrm{AdS}_2\times S^3\times \tilde{S}^3$ warped over a strip. The paper also provides the brane interpretation via a D0–F1–D4′–D4–D8 intersection, and connects the AdS$_2$ slicing to the near-horizon geometry of a non-standard brane system. Overall, it offers a concrete holographic setup in massive IIA with an explicit brane construction and a clear 10D uplift framework.
Abstract
We consider warped $\mathrm{AdS}_2\times \mathcal M_4$ backgrounds within $F(4)$ gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by $\textrm{AdS}_{6}$ 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 $\mathrm{AdS}_2\times S^{3}\times\tilde{S}^3$ 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.
