Conformal boundary and geodesics for $Ad{S}_5\times S^5$ and the plane wave: Their approach in the Penrose limit

Abstract

Projecting on a suitable subset of coordinates, a picture is constructed in which the conformal boundary of $Ad{S}_5\times S^5$ and that of the plane wave resulting in the Penrose limit are located at the same line. In a second line of arguments all $Ad{S}_5\times S^5$ and plane wave geodesics are constructed in their integrated form. Performing the Penrose limit, the approach of null geodesics reaching the conformal boundary of $Ad{S}_5\times S^5$ to that of the plane wave is studied in detail. At each point these null geodesics of $Ad{S}_5\times S^5$ form a cone which degenerates in the limit.

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

References in corpus (5)

• PP-wave string interactions from perturbative Yang-Mills theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• Plane Waves: To infinity and beyond!
• Causal structures of pp-waves

Cited by in corpus (8)

• Strings in plane wave backgrounds
• String amplitudes in the Hpp-wave limit of AdS3xS3
• On the propagator of a scalar field in AdS x S and in its plane wave limit
• Multi giant graviton systems, SUSY breaking and CFT
• Conformal symmetry and light flavor baryon spectra
• Properties of branes in curved spacetimes
• Propagators and WKB-exactness in the plane wave limit of AdSxS
• Comments on the scalar propagator in AdS x S and the BMN plane wave