From super-AdS5×S5 algebra to super-pp-wave algebra Original Research Article

The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inönü–Wigner contractions of the super-AdS5×S5 algebra. The super-AdS5×S5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave algebra and the AdS5×S5 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.