A solitonic 3-brane in 6D bulk

We construct a solitonic 3-brane solution in the 6-dimensional Einstein–Hilbert–Gauss–Bonnet theory with a (negative) cosmological term. This solitonic brane world is δ-function-like. Near the brane the metric is that for a product of the 4-dimensional flat Minkowski space with a 2-dimensional “wedge” with a deficit angle (which depends on the solitonic brane tension). Far from the brane the metric approaches that for a product of the 5-dimensional AdS space and a circle. This solitonic solution exists for a special value of the Gauss–Bonnet coupling (for which we also have a δ-function-like codimension-1 solitonic solution), and the solitonic brane tension can take values in a continuous range. We discuss various properties of this solitonic brane world, including coupling between gravity and matter localized on the brane.