Corrigendum to "Coupling the SO(2) supergravity through dimensional reduction" [Phys. Lett. B 96 (1-2) (1980) 89-93]

TL;DR

This paper corrects an error in a 1980 supergravity paper and provides the explicit second order formalism Lagrangian, aiding recent research in D=5 supergravity and supersymmetric quantum cosmology.

Contribution

It offers a corrected version of a classic supergravity paper and explicitly presents the second order formalism Lagrangian for the first time.

Findings

Corrected an error in the original supergravity equation

Provided the explicit second order formalism Lagrangian

Facilitates recent studies in D=5 supergravity and quantum cosmology

Abstract

Due to renewed interest in D=5 supergravity and its quartic fermionic terms, fuelled by very recent work on supersymmetric quantum cosmology we correct an error in eq.(4) of the paper cited in the title. We also give the Lagrangian in second order formalism which was not explicitly written out before.