Gauging internal fermionic symmetries and spin 3/2 fields

TL;DR

This paper explores how internal fermionic symmetries in field theories lead to the natural emergence of spin 3/2 gauge fields upon local gauging, including the Higgs mechanism and fermion equivalence.

Contribution

It provides a detailed framework for gauging internal fermionic symmetries and demonstrates the Higgs mechanism and fermion equivalence for spin 3/2 fields.

Findings

Spin 3/2 fields arise as gauge fields when fermionic symmetries are gauged.

Gauging involves additional monomials beyond covariant derivatives.

Higgs mechanism and Nambu-Goldstone fermion equivalence are explicitly shown.

Abstract

Field theoretic models possessing a global internal fermionic shift symmetry are considered. When such a symmetry is realized locally, spin 3/2 fields appear naturally as gauge fields. Implementation of the gauging procedure requires not only the usual replacement of ordinary derivatives by covariant derivatives containing the spin 3/2 fields, but also the inclusion of additional monomials. The Higgs mechanism and the high energy Nambu-Goldstone fermion equivalence theorem are explicitly demonstrated.