Constraining Higher Derivative Supergravity with Scattering Amplitudes

Abstract

We study supersymmetry constraints on higher derivative deformations of type IIB supergravity by consideration of superamplitudes. Combining constraints of on-shell supervertices and basic results from string perturbation theory, we give a simple argument for the non-renormalization theorem of Green and Sethi, and some of its generalizations.

Figures (2)

• Figure 1: Factorization of the $6$-point amplitude through one $D^n R^4$ vertex and a pair of supergravity cubic vertices.
• Figure 2: Factorization of the $6$-point amplitude though a pair of $R^4$ vertices.