T-duality of the Riemann curvature corrections to supergravity

TL;DR

This paper investigates how Riemann curvature corrections to supergravity at order α'^3 behave under T-duality, identifying new couplings and dilaton interactions consistent with S-matrix calculations.

Contribution

It determines the explicit form of curvature and B-field couplings at order α'^3 that are compatible with T-duality and S-matrix results.

Findings

Derived couplings of four B-field strengths.

Identified couplings involving two Riemann curvatures and two B-field strengths.

Discovered new dilaton couplings at order α'^3.

Abstract

We examine the known Riemann curvature corrections to the supergravity action at order $\alpha'^3$ under the T-duality transformations. Using the compatibility of the action with the linear T-duality and with the S-matrix calculations as guiding principles, we have found the couplings of four $B$-field strengths and the couplings of two Riemann curvatures and two $B$-field strengths at order $\alpha'^3$. Using the S-matrix calculations we have also found new dilaton couplings in the string frame at this order.