# Conformal boundary and geodesics for $AdS_5\times S^5$ and the plane wave: Their approach in the Penrose limit

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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## Details Conformal boundary and geodesics for $AdS_5\times S^5$ and the plane wave: Their approach in the Penrose limit Conformal boundary and geodesics for $AdS_5\times S^5$ and the plane wave: Their approach in the Penrose limit

some statements refined, chapter 5 rewritten to make it more precise, some typos corrected

Scientific paper

10.1088/1126-6708/2003/04/030

Projecting on a suitable subset of coordinates, a picture is constructed in which the conformal boundary of $AdS_5\times S^5$ and that of the plane wave resulting in the Penrose limit are located at the same line. In a second line of arguments all $AdS_5\times S^5$ and plane wave geodesics are constructed in their integrated form. Performing the Penrose limit, the approach of null geodesics reaching the conformal boundary of $AdS_5\times S^5$ to that of the plane wave is studied in detail. At each point these null geodesics of $AdS_5\times S^5$ form a cone which degenerates in the limit.

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