Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude

TL;DR

This paper computes specific higher-derivative corrections involving Ramond-Ramond fields in type II supergravity, matching string theory amplitude predictions and confirming previous results.

Contribution

It explicitly derives the $O(eta'^3)$ interactions for RR fields with other supergravity fields using field-theory amplitudes, completing the higher-derivative terms in type II supergravity.

Findings

Derived explicit $O(eta'^3)$ RR interactions with graviton, B-field, and dilaton.

Confirmed agreement with previous string-theory amplitude calculations.

Enhanced understanding of higher-derivative corrections in type II supergravity.

Abstract

Motivated by the standard form of string-theory amplitude, we calculate the field-theory amplitude to complete the higher-derivative terms in type II supergravity theories in their conventional form. We derive explicitly the $ O(\alpha'^3) $ interactions for the RR (Ramond-Ramond) fields with graviton, B-field and dilaton in the low-energy effective action of type II superstrings. We check our results by comparison with previous works that have been done by the other methods, and find an exact agreement.