Towards a manifestly supersymmetric action for 11-dimensional supergravity

TL;DR

This paper explores constructing a manifestly supersymmetric action for 11-dimensional supergravity, utilizing non-minimal pure spinors and establishing relations between superfields, including a new cubic scalar interaction.

Contribution

It introduces a novel approach to formulating a manifestly supersymmetric action for 11D supergravity using non-minimal pure spinors and explicit field relations.

Findings

Established a relation between super-vielbein and super-3-form fields.

Discovered a simple cubic interaction term for a scalar superfield.

Proposed a framework for manifest supersymmetry in 11D supergravity.

Abstract

We investigate the possibility of writing a manifestly supersymmetric action for 11-dimensional supergravity. The construction involves an explicit relation between the fields in the super-vielbein and the super-3-form, and uses non-minimal pure spinors. A simple cubic interaction term for a single scalar superfield is found.