Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
Machiko Hatsuda, Kiyoshi Kamimura, Makoto Sakaguchi
Abstract
Maximally supersymmetric spacetime algebras in eleven-dimensions, which are the isometry superalgebras of Minkowski space, AdS7 x S4, AdS4 x S7 and pp-wave background, are related by Inonu-Wigner contractions. The super-AdS4(7) x S7(4) algebras allow to introduce two contraction parameters, the one for the flat limit to the super-Poincare algebra and the other for a Penrose limit to the super-pp-wave algebra. Under these contractions supersymmetries are maintained because the Jacobi identity of three supercharges holds for any values of contraction parameters.
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