On the consistent interactions in D=11 among a graviton, a massless gravitino and a three-form

TL;DR

This paper investigates the possible consistent interactions among a graviton, a massless gravitino, and a three-form gauge field in eleven dimensions, using deformation of the master equation to analyze couplings.

Contribution

It provides a systematic analysis of the allowed couplings among these fields in eleven-dimensional supergravity using the BRST deformation approach.

Findings

Identifies consistent interaction terms among the fields

Determines constraints on couplings in eleven-dimensional spacetime

Contributes to understanding supergravity field interactions

Abstract

The couplings that can be introduced between a massless Rarita-Schwinger field, a Pauli-Fierz field and an Abelian three-form gauge field in eleven spacetime dimensions are analyzed in the context of the deformation of the solution of the master equation.