Brane-Waves and Strings

TL;DR

The paper investigates macroscopic strings emanating from D$p$-branes within Born-Infeld theory, first embedding abelian BI string solutions into the non-abelian multi-brane context and proving that the configurations preserve $1/4$ of the supersymmetry. It analyzes transverse fluctuations from both the worldvolume and a test-string in a $Dp$-brane supergravity background, showing that for $p=3,4$ the fluctuation equations match between the gauge theory and gravity descriptions. The work demonstrates a nontrivial agreement between BI gauge theory and supergravity in this setting, highlighting a bridge between gauge- and gravity-based pictures of brane-string systems and suggesting further exploration of fermionic modes and exact localized solutions. The results provide insight into brane dynamics, supersymmetry, and the connections between abelian BI spikes and their non-abelian and gravitational counterparts, especially in the $p=3,4$ cases.

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.