$\textrm{AdS}_{2}\times S^7$ solutions from D0 $-$ F1 $-$ D8 intersections

TL;DR

This paper classifies a broad set of massive type IIA supergravity solutions with $ extrm{AdS}_2 imes S^7$ geometry arising from D0-F1-D8 brane intersections, analyzing their singularities and connections to other known solutions.

Contribution

It provides an exhaustive analytic classification of $ extrm{AdS}_2 imes S^7$ solutions from D0-F1-D8 intersections, including their singularity structure and relations to $ extrm{AdS}_7 imes S^2$ backgrounds.

Findings

Presence of localized O8/D8 sources in solutions

Fundamental strings smeared over $S^7$

Connection to $ extrm{AdS}_7 imes S^2$ solutions via analytic continuation

Abstract

We study an exhaustive analytic class of massive type IIA backgrounds preserving sixteen real supercharges and enjoying $\textrm{SL}(2,\mathbb{R})\times\textrm{SO}(8)$ bosonic symmetry. The corresponding geometry is described by $\textrm{AdS}_{2}\times S^{7}$ warped over a line, which turns out to emerge from taking the near-horizon limit of D0 $-$ F1 $-$ D8 intersections. By studying the singularity structure of these solutions we find the possible presence of localized O8/D8 sources, as well as of fundamental strings smeared over the $S^{7}$. Finally we discuss the relation between the aforementioned solutions and the known $\textrm{AdS}_{7}\times S^{2}$ class through double analytic continuation.