The fate of the zero mode of the five-dimensional kink in the presence of gravity

Abstract

We investigate what becomes of the translational zero-mode of a five-dimensional domain wall in the presence of gravity, studying the scalar perturbations of a thick gravitating domain wall with AdS asymptotics and a well-defined zero-gravity limit. Our analysis reveals the presence of a wide resonance which can be seen as a remnant of the translational zero-mode present in the domain wall in the absence of gravity and which ensures a continuous change of the physical quantities (such as e.g. static potential between sources) when the Planck mass is sent to infinity. Provided that the thickness of the wall is much smaller than the AdS radius of the space-time, the parameters of this resonance do not depend on details of the domain wall's structure, but solely on the geometry of the space-time.

29 pages, 4 figures; v2: 2 machine-generated typos in the introduction corrected

References in corpus (2)

• Sub-millimeter Tests of the Gravitational Inverse-square Law
• Quasilocalized gravity without asymptotic flatness

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• Survival of scalar zero modes in warped extra dimensions
• On the stability of thick brane worlds non-minimally coupled to gravity
• Non-topological gravitating defects in five-dimensional anti-de Sitter space
• Gravitating p-Branes
• Dynamics of the infinitely-thin kink
• Gravitational localization of scalar zero modes in SU(5) X Z2 branes
• Massive states as the relevant deformations of gravitating branes
• $SO(10)$ thick branes and perturbative stability