Recursion Relations from Space-time Supersymmetry

Understand

We describe a method for obtaining relations between higher derivative interactions in supersymmetric effective actions.

• The method extends to all orders in the momentum expansion.
• As an application, we consider the string coupling dependence of the \hat{G}^{2k} \lambda^{16} interaction in type IIB string theory.
• Using supersymmetry, we show that each of these interactions satisfies a Poisson equation on the moduli space with sources determined by lower momentum interactions.