Higher derivative terms including the Ramond-Ramond five-form

TL;DR

This paper uses superfield methods and computational algorithms to precisely determine the higher derivative couplings of the self-dual five-form in type IIB supergravity, clarifying when these terms can be neglected and their impact on black hole thermodynamics.

Contribution

It provides the exact tensor structure of higher derivative terms involving the Ramond-Ramond five-form in type IIB supergravity, introducing a new method for computing Schouten identities.

Findings

Explicit tensor structure of five-form higher derivative terms.

Conditions for neglecting these higher derivative corrections.

Implications for charged black hole thermodynamics.

Abstract

Superfield methods can be used to determine the precise way the self-dual five-form couples to the metric in the first non-trivial $\alpha'$ corrections to type IIB supergravity. We explicitly compute the exact tensor structure of these terms. This requires extensive use of computing algorithms to reduce the complicated expressions that appear to a surprisingly simple form. Along the way we show a new method of computing Schouten identities. With this result we clarify under which conditions one may neglect the five-form higher derivative terms. We comment on corrections to the thermodynamics of charged black holes.