Deformed brane with finite extra dimension

TL;DR

This paper constructs a deformed brane model with a finite extra dimension influenced by a dilaton field, analyzing localization properties of various fields and the impact of brane deformation on resonances.

Contribution

It introduces a new deformed brane solution with a finite extra dimension and studies the localization of different fields and resonance behavior.

Findings

Zero mode of vector fields is localized due to finite extra dimension.

Localization of Kalb-Ramond fields depends on dilaton coupling.

Number of resonances increases with brane deformation.

Abstract

We construct a deformed brane solution generated by a double-kink scalar field and a dilaton scalar field. In this brane scenario the extra dimension is finite, which is due to the introduction of the dilaton field with special form. The finity of the extra dimension will result in the localization of the zero mode for the vector fields. While the localization of the Kalb-Ramond fields {depends} on the coupling to the dilaton. For the fermion fields, {with different values of the dilaton-fermion coupling constant}, there are three types of the effective potential for the fermion KK modes. Moreover, we investigate the effect of the deformation of the brane on the localization, and find that the number of the resonances will increase with the distances of the two sub-branes.