Supergravity Solutions for Localized Intersections of Branes

TL;DR

This paper constructs explicit supergravity solutions for localized intersections of D4-branes ending on D6-branes, using dimensional reduction of M5-brane solutions in specific geometric backgrounds, advancing understanding of brane configurations.

Contribution

It provides a new explicit supergravity solution for a D4-brane ending on a D6-brane, derived from M5-brane solutions in a complex geometric setting.

Findings

Explicit supergravity solution for D4-D6 intersection.

Method for deriving solutions via dimensional reduction.

General class of localized brane intersections described.

Abstract

We construct an explicit supergravity solution for a configuration of localized D4-brane ending on a D6-brane, restricted to the near horizon region of the latter. We generate this solution by dimensionally reducing the supergravity solution for a flat M5-brane in $R^{1,7} \times C^2/Z_N$ with the M5-brane partially embedded in $C^2/Z_N$. We describe the general class of localized intersections and overlaps whose supergravity solutions are constructible in this way.