Domain Walls on the Brane

TL;DR

The paper demonstrates that all branes can host domain wall solutions, including both supersymmetric and non-supersymmetric types, with specific examples on IIB D-5- and NS-5-branes, expanding understanding of brane dynamics.

Contribution

It introduces new classes of domain wall solutions on branes, including non-supersymmetric and supersymmetric cases, with explicit examples on IIB five-branes.

Findings

Existence of domain wall solutions on all branes.

Identification of non-supersymmetric solutions with discontinuous tension.

Supersymmetric domain wall solutions on IIB D-5- and NS-5-branes.

Abstract

We show that all branes admit worldvolume domain wall solutions. We find one class of solutions for which the tension of the brane changes discontinuously along the domain wall. These solutions are not supersymmetric. We argue that there is another class of domain wall solutions which is supersymmetric. A particular case concerns supersymmetric domain wall solutions on IIB D-5- and NS-5-branes.