Metrics building of pp-wave orbifold geometries

We study strings on orbifolds of AdS₅× S⁵ by SU(2) discrete groups in the Penrose limit. We derive the degenerate metrics of pp wave of AdS₅× S⁵/Γ using ordinary $ADE$ and affine ADE singularities of complex surfaces and results on N=4 CFT₄'s. We also give explicit metric moduli depencies for abelian and non abelian orbifolds.