Family of Singular Solutions in A SUSY Bulk-Boundary System

TL;DR

This paper discovers a family of singular classical solutions in a 5D supersymmetric bulk-boundary system, revealing configurations like branes and anti-branes with localization and stability properties relevant to brane world physics.

Contribution

It introduces a new set of singular solutions with free parameters, elucidating their physical implications in brane world models, including stability and localization features.

Findings

Solutions include brane, anti-brane, and brane-anti-brane configurations.

Some solutions maintain localization even in non-compact extra dimensions.

Stability of solutions is confirmed.

Abstract

A set of classical solutions of a singular type is found in a 5D SUSY bulk-boundary system. The "parallel" configuration, where the whole components of fields or branes are parallel in the iso-space, naturally appears. It has three {\it free} parameters related to the {\it scale freedom} in the choice of the brane-matter sources and the {\it "free" wave} property of the {\it extra component} of the bulk-vector field. The solutions describe brane, anti-brane and brane-anti-brane configurations depending on the parameter choice. Some solutions describe the localization behaviour even after the non-compact limit of the extra space. Stableness is assured. Their meaning in the brane world physics is examined in relation to the stableness, localization, non-singular (kink) solution and the bulk Higgs mechanism.