Composite p-Branes in Diverse Dimensions

TL;DR

This paper introduces an algebraic method to find composite p-brane solutions in higher-dimensional gravity, involving multiple harmonic functions, and discusses their relation to known solutions in string theory.

Contribution

It presents a simple algebraic criterion for the existence of composite p-brane solutions with multiple constituents in higher-dimensional gravity.

Findings

Derived algebraic criteria for composite p-brane solutions

Connected new solutions to known D=11,10 cases

Provided a framework for constructing multi-brane configurations

Abstract

We use a simple algebraic method to find a special class of composite p-brane solutions of higher dimensional gravity coupled with matter. These solutions are composed of n constituent p-branes corresponding n independent harmonic functions. A simple algebraic criteria of existence of such solutions is presented. Relations with D=11,10 known solutions are discussed.