N=1 supersymmetric solutions of IIB supergravity
  We present a new class of "dielectric" N=1 supersymmetric solutions of IIB supergravity. This class contains not just the ten-dimensional lift of the Leigh-Strassler renormalization group flow, but also the Coulomb branch deformation of this flow in which the branes are allowed to spread in a radially symmetric manner, preserving the SU(2) global symmetry. We use the "algebraic Killing spinor" technique, illustrating how it can be adapted to N=1 supersymmetric flows. 
Krzysztof Pilch and Nicholas P. Warner