Incidental brane defects

TL;DR

This paper explores various types of brane defects arising from spontaneous symmetry breaking in compactified spaces, focusing on incidental symmetry breaking and stable defect configurations in models with multiple branes.

Contribution

It introduces the concept of incidental symmetry breaking in brane models and analyzes the resulting stable defect configurations, expanding understanding of brane defect phenomena.

Findings

Identification of incidental symmetry breaking in brane configurations

Analysis of stable defect configurations from incidental symmetry breaking

Distinction between primary and incidental brane defects

Abstract

In the models of brane construction, the isometry of a compactified space might be broken by branes. In four-dimensional effective Lagrangian, the breaking of the isometry is seen as the spontaneous breaking of the corresponding effective symmetry. Then it seems natural to expect that there are various kinds of defects that will be implemented by the spontaneous symmetry breaking. These defects are parametrized by the brane positions. In this paper we consider two kinds of such ``brane defects'', which are formed by the local fluctuations of the locations of branes along their transversal directions. The fluctuation of a brane position might leads to winding (or wraping) around a non-contractible circle of the compactified space. These ``primary'' brane defects are already discussed by several authors. On the other hand, if there are multiple branes in the compactified space and their configuration in a compactified space is determined by the potential that depends only on their relative positions, one might find incidental symmetry in the effective potential, which is spontaneously broken by branes. We examined the latter ``incidental'' symmetry breakings and stable defect configurations. We paid special attention to the difference between ``primary'' brane defects.