Bulk fields localization on thick string-like brane in f(T) gravity

This paper aims to investigate the influence of torsion on bulk fields in the codimension two thick brane in f(T) modified teleparallel gravity. It is shown that the brane supports the localization of gauge field zero mode without an extra coupling. However, Kalb-Ramond and fermionic fields require a suitable coupling. Then, it is proposed a geometrical coupling based on results in 5D thick brane in modified teleparallel gravities. The Kalb-Ramond field is coupled to torsion scalar T through a gauge-invariant interaction. For the case of fermionic fields, we study the Dirac fermions and gravitino with a derivative geometrical coupling. For all of the fields, it obtained massive and resonant modes by employing the Schodinger-like approach.

Automated summary

This paper investigates the influence of torsion on bulk fields in a thick brane with codimension two in f(T) modified teleparallel gravity. The localization of gauge field zero mode is supported by the brane without the need for an extra coupling. However, Kalb-Ramond and fermionic fields require appropriate couplings. Therefore, a geometrical coupling based on results in 5D thick brane in modified teleparallel gravities is proposed. The Kalb-Ramond field is coupled to torsion scalar T through a gauge-invariant interaction, and for fermionic fields, the Dirac fermions and gravitino are studied with a derivative geometrical coupling. Massive and resonant modes are obtained for all fields using a Schodinger-like approach.