Bubbling 1/2 BPS Geometries and Penrose Limits
arXiv:hep-th/0503057 · doi:10.1103/PhysRevD.72.066014
Abstract
We discuss how to take a Penrose limit in bubbling 1/2 BPS geometries at the stage of a single function z(x_1,x_2,y). By starting from the z of the AdS_5 x S^5 we can directly derive that of the pp-wave via the Penrose limit. In that time the function z for the pp-wave with 1/R^2-corrections is obtained. We see that it surely reproduces the pp-wave with 1/R^2 terms. In addition we consider the Penrose limit in the configuration of the concentric rings.
15 pages, 3 figures, LaTeX, v2:higher order corrections are added, typos corrected and references added, version to appear in PRD