Brane-Waves and Strings

TL;DR

This paper explores solutions in Born-Infeld theory representing strings from p-branes, their embedding into non-abelian theories, supersymmetry properties, and transverse fluctuations, with results consistent across different analytical approaches.

Contribution

It extends Born-Infeld solutions to non-abelian theories for multiple p-branes and explicitly proves their supersymmetry.

Findings

Solutions represent strings from p-branes in Born-Infeld theory.

Supersymmetry of solutions is explicitly demonstrated.

Agreement found between worldbrane and supergravity analyses for p=3,4.

Abstract

Recently, solutions of the Born-Infeld theory representing strings emanating from a Dirichlet p-brane have been constructed. We discuss the embedding of these Born-Infeld solutions into the non-abelian theory appropriate to multiple overlapping p-branes. We also prove supersymmetry of the solutions explicitly in the full nonlinear theory. We then study transverse fluctuations, both from the worldbrane point of view and by analyzing a test-string in the supergravity background of a Dp-brane. We find agreement between the two approaches for the cases p=3,4.