From Super-AdS5xS5 Algebra to Super-pp-wave Algebra
Machiko Hatsuda, Kiyoshi Kamimura, Makoto Sakaguchi
Abstract
The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inonu-Wigner contractions of the super-AdS5xS5 algebra. The super-AdS5xS5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave algebra and the AdS5xS5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of supersymmetry is not affected under both contractions.
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