Supergravity-induced interactions on thick branes

Abstract

The gravity coupling of the symmetric space sigma model is studied in the solvable Lie algebra parametrization. The corresponding Einstein's equations are derived and the energy-momentum tensor is calculated. The results are used to derive the dynamical equations of the warped 5D geometry for localized bulk scalar interactions in the framework of thick brane world models. The Einstein and scalar field equations are derived for flat brane geometry in the context of minimal and non-minimal gravity-bulk scalar couplings.

Coulomb's law corrections and fermion field localization in a tachyonic de Sitter thick braneworld

“…It is remarkable that by studying the world-volume theory of the massless modes on this BPS D-brane, it was established that the world-volume action precisely adopts the Dirac-Born-Infeld form without higher derivative corrections [55]. As it was mentioned above, this effective action was further considered in the braneworld [23] and supergravity [47] realms motivated by the hope of relating the phenomenology of these models to more fundamental theories like string theory, making it physically interesting.…”

“…Afterwards, due to the intrinsic singularities that braneworld models possess at the position of the branes, there were proposed several scenarios in which the fifth dimension was modeled by bulk scalar fields, extending the idea of thin branes to thick brane configurations [41]- [46]. Recently, thick brane models have been proposed in gravity minimally or non-minimally coupled to scalar fields originating from supergravity theories which can be modeled by sigma models, opening thereby the possibility of linking the phenomenology of thick branes to more fundamental theories [47]. This research line pretends to understand the standard model physics from a higher dimensional point of view in order to address, reformulate and/or solve several open problems such as the gauge hierarchy problem.…”