Vector field localization and negative tension branes

TL;DR

This paper demonstrates that negative tension branes in higher dimensions can localize massless gauge fields on the brane, providing explicit five-dimensional examples and showing the separation of zero modes from massive modes.

Contribution

It introduces a mechanism for localizing gauge fields on negative tension branes in higher dimensions with explicit models and mode separation.

Findings

Massless gauge fields are localized on negative tension branes.

Explicit five-dimensional models exhibit localized zero modes.

Zero modes are separated from massive modes by a gap.

Abstract

It is shown that negative tension branes in higher dimensions may lead to an effective lower dimensional theory where the gauge-invariant vector fields associated with the fluctuations of the metric are always massless and localized on the brane. Explicit five-dimensional examples of this phenomenon are provided. Furthermore, it is shown that higher dimensional gauge fields can also be localized on these configurations with the zero mode separated from the massive tower by a gap.