In this note we discuss solutions of type IIB supergravity with an isometry group of non-relativistic scaling symmetry and in a special case, the well-known Schrodinger symmetry. In particular we discuss supersymmetric backgrounds with Schrodinger isometry and renormalization group flow geometries with Schrodinger symmetry at the fixed points. We also discuss scale-invariant gravity backgrounds with a general dynamical exponent. This is a summary based on the following works: N. Bobev and A. Kundu, JHEP 0907:098,2009 [arXiv:0904.2873 [hep-th]]; N. Bobev, A. Kundu and K. Pilch, JHEP 0907:107,2009 [arXiv:0905.0673 [hep-th]].
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