Gauge field corrections to 11-dimensional supergravity via dimensional reduction

TL;DR

This paper derives higher-derivative corrections to 11-dimensional supergravity by leveraging its relation to type IIA supergravity through dimensional reduction, identifying specific $ R^4 $ and derivative terms.

Contribution

It explicitly computes higher-derivative terms in 11D supergravity, advancing understanding of its quantum corrections via dimensional reduction from type IIA supergravity.

Findings

Derived $ R^4 $ correction terms.

Identified derivative terms involving $ F_4 $ and curvature.

Enhanced the understanding of quantum corrections in 11D supergravity.

Abstract

Using the fact that eleven-dimensional supergravity yields type IIA supergravity under dimensional reduction on a circle, we determine higher-derivative terms of 11-dimensional supergravity including the $ R^4 $, $ ({\partial {F_4}})^2 R^2 $ and $ ({\partial {F_4}})^4 $ terms.