Lecture 3 (lunch seminar): Merab Gogberashvili (Javakhishvili Tbilisi State University, Georgia)

Title: 5D Standing Waves Braneworlds

The 5D standing wave braneworld model represents a single brane which bounds collective oscillations of gravitational and scalar field standing waves. The model provides with pure gravitational localization mechanism.

For the bulk ghost scalar fields and increasing warp factor we show localization of classical particles and zero modes of spin-0, -1, -2 and the left spin-½ fields on the brane, while right fermions are localized in the bulk. The cosmological solution provides with natural mechanisms of the dimensional reduction and brane isotropization.

For the bulk real scalar fields and when the amplitude of the standing waves is small, matter fields are localized due to the presence of the horizon in the extra dimension. When oscillations are large, trapping is provided by the pressure of bulk waves. The mass of the lightest KK mode is determined by the smaller scale corresponding to the horizon.

Reference:
Standing waves braneworlds, Int. J. Mod. Phys. D 25, (2016) 163001925 (Review article)