Antisymmetric Tensor Fields in the Locally Localized Gravity Models

TL;DR

This paper investigates how antisymmetric tensor fields, including vectors, can be localized on an AdS brane via gravity in models with a cosmological constant, highlighting the importance of the brane's cosmological constant.

Contribution

It demonstrates that all antisymmetric tensor fields are gravitationally trapped on an AdS brane, emphasizing the role of the brane cosmological constant in localization.

Findings

All antisymmetric tensor fields are localized on the brane.

Zero-modes are spread widely in extra dimensions.

Small extra dimensions are needed to match experiments.

Abstract

We study the localization property of antisymmetric tensor fields in the locally localized gravity models. It is shown that all the antisymmetric tensor fields, including the vector field, in a bulk space-time are trapped on an $AdS$ brane by a gravitational interaction where the presence of the brane cosmological constant plays an important role as in the cases of the other bulk fields. The normalized zero-modes spread rather widely in extra space so small extra dimensions might be needed in order not to conflict with experiment.