Four-dimensional gravity on supersymmetric dilatonic domain walls

TL;DR

This paper explores how four-dimensional gravity can be localized on supersymmetric dilatonic domain walls, analyzing the effects of massive modes on gravitational behavior and potential cosmological implications.

Contribution

It provides a detailed analysis of gravity localization and corrections in supersymmetric dilatonic domain walls, including the impact of massive modes and potential for gravitational confinement.

Findings

Gravity is localized on the brane at distances below the crossover scale.

Corrections to Newtonian potential depend on the dilatonic coupling.

In some cases, gravity becomes repulsive at large distances, indicating a confining phase.

Abstract

We investigate the localization of four-dimensional metastable gravity in supersymmetric dilatonic domain walls through massive modes by considering several scenarios in the model. We compute corrections to the Newtonian potential for small and long distances compared with a crossover scale given in terms of the dilatonic coupling. 4D gravity behavior is developed on the brane for distance very much below the crossover scale, while for distance much larger, the 5D gravity is recovered. Whereas in the former regime gravity is always attractive, in the latter regime due to non-normalizable unstable massive graviton modes present on the spectrum, in some special cases, gravity appears to be repulsive and signalizes a gravitational confining phase which is able to produce an inflationary phase of the Universe.