M-theory description of BPS string in 7-brane background

TL;DR

This paper uses M-theory to analyze BPS string configurations in 7-brane backgrounds, generalizing known flat background results and confirming their properties from an M-theory perspective.

Contribution

It provides a novel M-theory geometric framework for BPS strings in 7-brane backgrounds, extending previous flat background analyses.

Findings

BPS string configurations are consistent with IIB results.

Generalization of 3-string junctions to 7-brane backgrounds.

M-theory hyperkahler geometry describes these configurations.

Abstract

We discuss the BPS configurations of IIB strings in the 7-brane background from M-theory viewpoint. We first obtain the hyperkahler geometry background of M-theory expected from the 7-brane solutions of the type IIB supergravity. We choose the appropriate complex structures of the background geometries and embed a membrane of M-theory holomorphically to obtain a BPS string configuration. The recently discussed BPS string configurations such as 3-string junctions and string networks in the flat background are generalized to the cases with the 7-brane backgrounds. The property of the BPS string configurations in the 7-brane backgrounds is in agreement with the previously known results from the IIB string viewpoint.