Abstract
Maximally supersymmetric spacetime algebras in eleven dimensions, which are the isometry superalgebras of Minkowski space, AdS 7× S 4, AdS 4× S 7 and pp-wave background, are related by Inönü–Wigner contractions. The super-AdS 4(7)× S 7(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.
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