Dimensional reduction, gauged D=5 supergravity and brane solutions

The U(1) gauged version of the Strominger–Vafa five dimensional N=2 supergravity with one vector multiplet is obtained via dimensional reduction from the N=1 ten dimensional supergravity. Using such explicit relation between the gauged supergravity theory and ten dimensional supergravity, all known solutions of the five dimensional theory can be lifted up to ten-dimensions. The eleven dimensional solutions can also obtained by lifting the ten-dimensional solutions.