Fermions via spinor-valued one-forms

Abstract

Spinor-valued one-forms (Rarita-Schwinger fields) are normally used in the context of supergravity, where they describe spin 3/2 particles (gravitinos). Indeed, when decomposed into irreducible representations of the Lorentz group such a field contains both a spin 1/2 and a spin 3/2 component, and the Rarita-Schwinger Lagrangian is designed to make only the spin 3/2 propagate. We point out that the opposite construction is also possible, and give a spinor-valued one-form field Lagrangian that describes a propagating spin 1/2 particle.

23 pages, no figures

References in corpus (4)

• New Action Principle for General Relativity
• Plebanski gravity without the simplicity constraints
• A Gauge Theoretic Approach to Gravity
• Spontaneous symmetry breaking and gravity

Cited by in corpus (2)

• Supersymmetric 3D model for gravity with $SU(2)$ gauge symmetry, mass generation and effective cosmological constant
• Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering