A solitonic 3-brane in 6D bulk

We construct a solitonic 3-brane solution in the 6-dimensional Einstein-Hil bert-Gauss-Bonnet theory with a (negative) cosmological term. This solitoni c brane world is delta -function-like. Near the brane the metric is that fo r 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-dime nsional AdS space and a circle. This solitonic solution exists fur a specia l value of the Gauss-Bonnet coupling (for which we also have a delta -funct ion-like codimension solitonic solution), and the solitonic brane tension c an take values in a continuous range. We discuss various properties of this solitonic brans world, including coupling between gravity and matter local ized on the brane. (C) 2001 Published by Elsevier Science B.V.