Abstract
Starting from a first-order formulation of the Lagrangian of noninteracting massless helicity-2 and helicity-3/2 particles, we deduce global supersymmetry transformations. Then, allowing the supersymmetry transformations to become local requires, if supersymmetry is to be maintained, the introduction of a unique primitive interaction through the “gravitino” stress tensor and torsion. Finally, the imposition of exact supersymmetry invariance leads by a short, constructive process to full supergravity and the complete form of the supersymmetry transformations. In particular, no explicit use is made of general coordinate invariance, and the self-consistency of the gravitational coupling emerges from the local supersymmetry requirement alone.
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Milton, K.A., Urrutia, L.F. & Finkelstein, R.J. Constructive approach to supergravity. Gen Relat Gravit 12, 67–81 (1980). https://doi.org/10.1007/BF00756169
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DOI: https://doi.org/10.1007/BF00756169