A Note on Supergravity Solutions for Partially Localized Intersecting Branes

TL;DR

This paper constructs new supergravity solutions for intersecting branes with partial localization, extending known near-horizon solutions and discussing limitations and potential ways to overcome them.

Contribution

It introduces a method to generate partially localized supergravity solutions for specific brane intersections, generalizing previous near-horizon solutions.

Findings

Successfully constructed solutions for D3/D5, D4/D4, and M5/M5 intersections.

Identified limitations of the method for certain intersections like D1/D5.

Discussed potential approaches to overcome the method's restrictions.

Abstract

Using the method developed by Cherkis and Hashimoto we construct partially localized D3/D5(2), D4/D4(2) and M5/M5(3) supergravity solutions where one of the harmonic functions is given in an integral form. This is a generalization of the already known near-horizon solutions. The method fails for certain intersections such as D1/D5(1) which is consistent with the previous no-go theorems. We point out some possible ways of bypassing these results.