Matter localization on brane-worlds generated by deformed defects

TL;DR

This paper studies how matter fields of different spins can be localized on thick branes generated by deformed defects, revealing conditions for localization and analyzing the mass spectrum of Kaluza-Klein modes.

Contribution

It introduces novel asymmetric thick brane models with internal structures and provides analytical localization profiles for fermions, highlighting the impact of brane thickness.

Findings

Thick branes induce strong matter localization.

Fermion localization exhibits left-right asymmetry.

Analytical profiles for fermion localization are derived.

Abstract

Localization and mass spectrum of bosonic and fermionic matter fields of some novel families of asymmetric thick brane configurations generated by deformed defects are investigated. The localization profiles of spin 0, spin 1/2 and spin 1 bulk fields are identified for novel matter field potentials supported by thick branes with internal structures. The condition for localization is constrained by the brane thickness of each model such that thickest branes strongly induces matter localization. The bulk mass terms for both fermion and boson fields are included in the global action as to produce some imprints on mass-independent potentials of the Kaluza-Klein modes associated to the corresponding Schr\"odinger equations. In particular, for spin 1/2 fermions, a complete analytical profile of localization is obtained for the four classes of superpotentials here discussed. Regarding the localization of fermion fields, our overall conclusion indicates that thick branes produce a left-right asymmetric chiral localization of spin 1/2 particles.