Supersymmetric solutions based on Yp,q and Lp,q,r

We explicitly realize supersymmetric cones based on the five-dimensional Yp,q and Lp,q,r Einstein-Sasaki spaces. We use them to construct supersymmetric type IIB supergravity solutions representing a stack of D3- and D5-branes as warped products of the six-dimensional cones and R1,3.