# Fermion localization in a backreacted warped spacetime

## TL;DR

This paper investigates how the backreaction of a stabilizing scalar field in a five-dimensional warped spacetime influences the localization of fermions, affecting their coupling and distribution near the branes.

## Contribution

It demonstrates the impact of scalar field backreaction on fermion localization and profiles in a stabilized warped spacetime, extending previous models without backreaction effects.

## Key findings

- Zero-mode fermions localize near the TeV brane with increased backreaction.
- Massive KK fermion profiles shift towards the Planck brane as backreaction grows.
- Backreaction alters the effective radion-fermion coupling.

## Abstract

We consider a five dimensional AdS warped spacetime in presence of a massive scalar field in the bulk. The scalar field potential fulfills the requirement of modulus stabilization even when the effect of backreaction of the stabilizing field is taken into account. In such a scenario, we explore the role of backreaction on the localization of bulk fermions which in turn determines the effective radion-fermion coupling on the brane. Our result reveals that both the chiral modes of the zeroth Kaluza-Klein (KK) fermions get localized near TeV brane as the backreaction of the scalar field increases. We also show that the profile of massive KK fermions shifts towards the Planck brane with increasing backreaction parameter.