Dynamical Equations from a First-Order Perturbative Superspace Formulation of 10D N=1 String-Corrected Supergravity (I)

TL;DR

This paper derives the bosonic equations of motion for 10D, N=1 supergravity using a first-order perturbative superspace approach, providing a Lagrangian consistent with anomaly-free supergravity and covering multiple formulations.

Contribution

It introduces a novel superspace method to derive supergravity equations and proves their equivalence to known anomaly-free supergravity Lagrangians.

Findings

Derived bosonic equations of motion from superspace geometry

Established Lagrangian equivalence to anomaly-free supergravity

Covered both two-form and six-form formulations

Abstract

Utilizing a first-order perturbative superspace approach, we derive the bosonic equations of motion for the 10D, N = 1 supergravity fields. We give the Lagrangian corresponding to these equations derived from superspace geometry. Moreover, the equivalence of this Lagrangian to the first-order perturbative component level Lagrangian of anomaly-free supergravity is proven. Our treatment covers both the two-form and six-form formulations.