A World-Volume Perspective on the Recombination of Intersecting Branes

TL;DR

This paper investigates how intersecting supersymmetric branes can smoothly recombine into calibrated manifolds, using world-volume field theory with impurities and superspace formalism to describe the process.

Contribution

It provides a field theory description of brane recombination, linking impurity condensation to geometric deformations into calibrated manifolds.

Findings

Recombination corresponds to Higgs branch vacua with impurity condensation

Calibration equations emerge naturally from F- and D-flatness conditions

Explicit superspace formalism demonstrates the deformation of intersections into smooth manifolds

Abstract

We study brane recombination for supersymmetric configurations of intersecting branes in terms of the world-volume field theory. This field theory contains an impurity, corresponding to the degrees of freedom localized at the intersection. The Higgs branch, on which the impurity fields condense, consists of vacua for which the intersection is deformed into a smooth calibrated manifold. We show this explicitly using a superspace formalism for which the calibration equations arise naturally from F- and D-flatness.