alpha'-Corrections to Heterotic Superstring Effective Action Revisited

TL;DR

This paper demonstrates that the supersymmetric R^2 effective action for heterotic strings, derived from the Lorentz Chern-Simons term, is equivalent to other heterotic string effective actions at order α', up to field redefinitions.

Contribution

It shows the equivalence of different heterotic string effective actions at order α' through supersymmetrization and field redefinitions.

Findings

Effective actions are equivalent modulo field redefinitions

Supersymmetrization of the Lorentz Chern-Simons term is key

Consistency across different derivation methods is established

Abstract

In this letter we establish that the supersymmetric R^2 effective action for the heterotic string, obtained from the supersymmetrisation of the Lorentz Chern-Simons term, is to order $\alpha'$ equivalent modulo field redefinitions to heterotic string effective actions computed by different methods.