Non-compact Complex Projective Superspaces by Hamiltonian reduction

Abstract

We briefly describe some concepts of super-Hamiltonian reduction and complex projective spaces. Next, we are going to perform super-Hamiltonian reduction in a concrete case, namely to get compact and non-compact complex projective superspaces from complex (pseudo)Euclidean superspaces. Then we concentrate on the non-compact case, and specifically on the supergeneralization of 𝑁 -dimensional Klein model and the mapping of superconformal mechanics on it.