Close to the edge: hierarchy in a double braneworld

Abstract

We show that the hierarchy between the Planck and the weak scales can follow from the tendency of gravitons and fermions to localize at different edges of a thick double wall embedded in an $Ad{S}_5$ spacetime without reflection symmetry. This double wall is a stable BPS thick-wall solution with two sub-walls located at its edges; fermions are coupled to the scalar field through Yukawa interactions, but the the lack of reflection symmetry forces them to be localized in one of the sub-walls. We show that the graviton zero-mode wavefunction is suppressed in the fermion edge by an exponential function of the distance between the sub-walls, and that the massive modes decouple so that Newtonian gravity is recuperated.

Some typos corrected, references added

References in corpus (2)

• Fermion localization on thick branes
• Higher order corrections to the Newtonian potential in the Randall-Sundrum model

Cited by in corpus (3)

• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• 6D thick branes from interacting scalar fields
• Resonance in Asymmetric Warped Geometry