Strings ending on branes from supergravity

TL;DR

This paper constructs supergravity solutions for brane intersections, specifically strings ending on Dp branes, and confirms their geometric profiles match predictions from the DBI action, providing insights into BPS configurations.

Contribution

It presents explicit gravity solutions for brane intersections preserving eight supercharges, linking supergravity geometry with DBI analysis and constraining brane positions in type IIB supergravity.

Findings

Gravity solutions match DBI profiles of branes.

Type IIB supergravity constrains brane positions.

Analysis extends to 1/4-BPS systems in M theory.

Abstract

We study geometries produced by brane intersections preserving eight supercharges. Typical examples of such configurations are given by fundamental strings ending on Dp branes and we construct gravity solutions describing such intersections. The geometry is specified in terms of two functions obeying coupled differential equations and the boundary conditions are determined by distributions of D branes. We show that a consistency of type IIB supergravity constrains the allowed positions of the branes. The shapes of branes derived from gravity are found to be in a perfect agreement with profiles predicted by the DBI analysis. We also discuss related 1/4-BPS systems in M theory.