On the (im)possibility of a supersymmetric extension of NGT

TL;DR

This paper explores whether a supersymmetric extension of Nonsymmetric Gravitation Theory (NGT) is feasible, concluding that a fundamental obstacle prevents the construction of a consistent supergravity model based on NGT.

Contribution

The paper provides a no-go proof showing the impossibility of formulating a supersymmetric extension of NGT due to linear gravitino contributions.

Findings

No-go result prevents supersymmetric NGT construction

Linear gravitino terms cannot be canceled

Supergravity based on NGT appears unfeasible

Abstract

We investigate the possibility of constructing a locally supersymmetric extension of NGT (Nonsymmetric Gravitation Theory), based on the graded extension of the Poincare group. In the framework of the simple model that we propose, we end up with a no-go result, namely the impossibility of cancelling some linear contribution in the gravitino field. This drawback seems to seriously undermine the construction of a supergravity based on NGT.