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

Abstract

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.

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