Non-Abelian Born-Infeld versus String Theory

TL;DR

This paper compares the mass spectrum of non-abelian Born-Infeld theory with string theory predictions, finding exact matches only in specific BPS and tilted brane configurations, and explores fluctuation dynamics of fluxed Dp-branes.

Contribution

It provides a detailed comparison between non-abelian Born-Infeld theory and string theory, highlighting cases of exact agreement and analyzing brane fluctuations.

Findings

Exact spectrum agreement for BPS configurations on four-torus

Exact spectrum agreement for coinciding tilted branes

Analysis of fluctuation dynamics of wrapped Dp-branes with flux

Abstract

Motivated by the results of Hashimoto and Taylor, we perform a detailed study of the mass spectrum of the non-abelian Born-Infeld theory, defined by the symmetrized trace prescription, on tori with constant magnetic fields turned on. Subsequently, we compare this for several cases to the mass spectrum of intersecting D-branes. Exact agreement is found in only two cases: BPS configurations on the four-torus and coinciding tilted branes. Finally we investigate the fluctuation dynamics of an arbitrarily wrapped Dp-brane with flux.