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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.

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

TL;DR

This work constructs new supersymmetric warped vacua within 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 solutions with asymptotics, then uplift them to ten dimensions to realize warped over a strip. The paper also provides the brane interpretation via a D0–F1–D4′–D4–D8 intersection, and connects the AdS 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 backgrounds within gauged supergravity in six dimensions. In particular, we are able to find supersymmetric solutions of the aforementioned type characterized by asymptotics and an 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 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.

Paper Structure

This paper contains 11 sections, 62 equations, 2 tables.