Randall-Sundrum Zero Mode as a Penrose Limit

Abstract

A generalization of the limiting procedure of Penrose, which allows non-zero cosmological constants and takes into account metrics that contain homogeneous functions of degree zero, is presented. It is shown that any spacetime which admits a spacelike conformal Killing vector has a limit which is conformal to plane waves. If the spacetime is an Einstein space, its limit exists only if the cosmological constant is negative or zero. When the conformal Killing vector is hypersurface orthogonal, the limits of Einstein spacetimes are certain AdS plane waves. In this case the nonlinear version of the Randall-Sundrum zero mode is obtained as the limit of the brane world scenarios.

8 pages,LaTeX

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Cited by in corpus (11)

• PP-wave string interactions from perturbative Yang-Mills theory
• Operators with large R charge in N=4 Yang-Mills theory
• Open Strings on Plane waves and their Yang-Mills duals
• Noncommutative D-brane and Open String in pp-wave Background with B-field
• Modular Invariance of Strings on PP-Waves with RR-flux
• Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• On Type IIA String Theory on the PP-wave Background
• PP-waves from Nonlocal Theories
• The Conformal Penrose Limit and the Resolution of the pp-curvature Singularities
• The Conformal Penrose Limit: Back to Square One