The Conformal Penrose Limit: Back to Square One

Details The Conformal Penrose Limit: Back to Square One The Conformal Penrose Limit: Back to Square One

2008-04-16

arxiv.org/abs/0804.2697v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX

Scientific paper

10.1088/0264-9381/25/16/165006

We show that the conformal Penrose limit is an ordinary plane wave limit in a higher dimensional framework which resolves the spacetime singularity. The higher dimensional framework is provided by Ricci-flat manifolds which are of the form M_D = M_d x B, where M_d is an Einstein spacetime that has a negative cosmological constant and admits a spacelike conformal Killing vector, and B is a complete Sasaki-Einstein space with constant sectional curvature. We define the Kaluza-Klein metric of M_D through the conformal Killing potential of M_d and prove that M_d has a conformal Penrose limit if and only if M_D has an ordinary plane wave limit. Further properties of the limit are discussed.

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