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Penrose limits, supergravity and brane dynamics

Matthias Blau1, José Figueroa-O'Farrill2 and George Papadopoulos3

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We investigate the Penrose limits of classical string and M-theory backgrounds. We prove that the number of (super)symmetries of a supergravity background never decreases in the limit. We classify all the possible Penrose limits of AdS × S spacetimes and of supergravity brane solutions. We also present the Penrose limits of various other solutions: intersecting branes, supersymmetric black holes and strings in diverse dimensions, and cosmological models. We explore the Penrose limit of an isometrically embedded spacetime and find a generalization to spaces with more than one time. Finally, we show that the Penrose limit is a large tension limit for all branes including those with fields of Born–Infeld type.


PACS

04.65.+e Supergravity

11.25.Yb M theory

04.70.-s Physics of black holes

11.25.Uv D branes

MSC

83E30 String and superstring theories (See also 81T30)

83E50 Supergravity

83C57 Black holes

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 18 (21 September 2002)

Received 12 June 2002

Published 2 September 2002



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