On the non-relativistic structure of the AdS/CFT superalgebras

Abstract

The property of the conformal algebra to contain the Schrödinger algebra in one less space dimension is extended to the supersymmetric case. More precisely, we determine the non-relativistic counterpart of any field theory admissible superconformal algebra. Even if each type of superalgebra provides a different solution, its basis decomposition into two copies of the super Schrödinger algebra, differing only by their super Heisenberg part, remains valid in all cases, so generalizing a feature already observed in the non-supersymmetric conformal case.