Bubbling 1/2 BPS Geometries and Penrose Limits

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

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• Comments on the beta-deformed N=4 SYM Theory
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• Geometry and topology of bubble solutions from gauge theory
• Bosonization of non-relativstic fermions in 2-dimensions and collective field theory
• 1/2 BPS Geometries of M2 Giant Gravitons
• Stretched Horizon and Entropy of Superstars
• On Classification Of The Bubbling Geometries
• Semi-classical Probe Strings on Giant Gravitons Backgrounds
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Chaotic string motion in a near pp-wave limit
• On 1/2 BPS Solutions in M-theory