Supersymmetric three-form flux perturbations on AdS5 -: art. no. 026001

We consider warped type IIB supergravity solutions with three-form flux and N = 1 supersymmetry, which arise as the supergravity duals of confining gauge theories. We first work in a perturbation expansion around AdS(5) x S-5, as in the work of Polchinski and Strassler, and from the N = 1 conditions and the Bianchi identities recover their first-order solution generalized to an arbitrary N = 1 superpotential. We find the second order dilaton and axion by the same means. We also find a simple family of exact solutions, which can be obtained from solutions found by Becker and Becker, and which includes the recent Klebanov-Strassler solution.