Super-pp-wave algebra from super-AdS×S algebras in eleven dimensions Original Research Article

Maximally supersymmetric spacetime algebras in eleven dimensions, which are the isometry superalgebras of Minkowski space, AdS7×S4, AdS4×S7 and pp-wave background, are related by Inönü–Wigner contractions. The super-AdS4(7)×S7(4) algebras allow to introduce two contraction parameters, the one for the flat limit to the super-Poincaré 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.