R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry

TL;DR

This paper derives R^4 correction terms to eleven-dimensional supergravity using supersymmetry, aligning with string theory results and identifying parameters for fermionic terms.

Contribution

It introduces two supersymmetry-based candidates for R^4 corrections and relates fermionic parameters, advancing understanding of supergravity modifications.

Findings

Two R^4 correction candidates match string theory results

13 parameters relate to fermionic terms

Method applies Noether procedure to supersymmetry

Abstract

By applying Noether method to N=1 local supersymmetry in eleven dimensions, we obtained two candidates of R^4 corrections to the supergravity. The bosonic parts of these two completely match with the results obtained by type IIA string perturbative calculations. We also obtained 13 parameters which relate only fermionic terms.