Generalization of the Randall-Sundrum warped braneworld model to higher dimensions

The Randall-Sundrum warped braneworld model is generalized to six and higher dimensions such that the warping has a nontrivial dependence on more than one dimension. This naturally leads to a brane-boxlike configuration along with scalar fields with possibly interesting cosmological roles. Also obtained naturally are two towers of 3 branes with mass scales clustered around either of the Planck scale and TeV scale. Such a scenario has interesting phenomenological consequences including an explanation for the observed hierarchy in the masses of standard model fermions.