Bosonic physical states in N=1 supergravity?

TL;DR

The paper argues that in N=1 supergravity, physical states satisfying all constraints cannot be purely bosonic, implying a fundamental link between bosonic and fermionic degrees of freedom.

Contribution

It presents a theoretical argument showing that bosonic states in N=1 supergravity are incompatible with the constraint equations, highlighting the fermionic nature of physical states.

Findings

Bosonic states cannot satisfy all constraints in N=1 supergravity.

Physical states must involve fermionic degrees of freedom.

Supports the fermionic nature of supergravity states.

Abstract

It is argued that states in $N=1$ supergravity that solve all of the constraint equations cannot be bosonic in the sense of being independent of the fermionic degrees of freedom. (Based on a talk given by Miguel Ortiz at the 7th Marcel Grossmann Meeting.)