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 delta -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 fur a special value of the Gauss-Bonnet coupling (for which we also have a delta -function-like codimension solitonic solution), and the solitonic brane tension can take values in a continuous range. We discuss various properties of this solitonic brans world, including coupling between gravity and matter localized on the brane. (C) 2001 Published by Elsevier Science B.V.