Recursion Relations from Space-time Supersymmetry

Details Recursion Relations from Space-time Supersymmetry Recursion Relations from Space-time Supersymmetry

2008-08-08

arxiv.org/abs/0808.1250v1

JHEP0809:081,2008

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, LaTeX

Scientific paper

10.1088/1126-6708/2008/09/081

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. We argue that these protected couplings are only renormalized by a finite number of string loops together with non-perturbative terms. Finally, we explore some consequences of the Poisson equation for low values of k.

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