Higher Dimensional Recombination of Intersecting D-branes

TL;DR

This paper investigates the recombination process of intersecting D-branes at multiple angles using super Yang-Mills theory, revealing how tachyon condensation leads to charge distribution and stable configurations.

Contribution

It extends the understanding of D-brane recombination from one angle to multiple angles, identifying new stable non-abelian configurations and their supersymmetry properties.

Findings

Tachyon condensation causes D-brane charge distribution near intersections.

When two angles are equal, a massless mode leads to a new stable configuration.

The stable configuration is supersymmetric up to quadratic fluctuations.

Abstract

We study recombinations of D-brane systems intersecting at more than one angle using super Yang-Mills theory. We find the condensation of an off-diagonal tachyon mode relates to the recombination, as was clarified for branes at one angle in hep-th/0303204. For branes at two angles, after the tachyon mode between two D2-branes condensed, D2-brane charge is distributed in the bulk near the intersection point. We also find that, when two intersection angles are equal, the off-diagonal lowest mode is massless, and a new stable non-abelian configuration, which is supersymmetric up to a quadratic order in the fluctuations, is obtained by the deformation by this mode.