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

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• Resonance in Asymmetric Warped Geometry
• Quasinormal modes and echoes of a double braneworld
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Can neutron disappearance/reappearance experiments definitively rule out the existence of hidden braneworlds endowed with a copy of the Standard Model?
• Self-gravitating non-abelian kinks as brane worlds
• Gravitational localization of scalar zero modes in SU(5) X Z2 branes
• $SO(10)$ thick branes and perturbative stability