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We use the Kerr–Schild formalism topresent a simple view of a rotating dyon which isneither multidimensional nor supersymmetric, and may beregarded as a correspondence limit of a string dyon. Inthis metric, which permits Minkowskian solutions, wefind that both in the Einstein and Landau prescriptionsthe pseudo-energy-momentum tensor vanishes, withoutassuming that the null vector is also geodesic, as was done in earlier work. This allows anessentially Lorentz covariant treatment of theequations. The calculation of the total mass and angularmomentum are presented for completeness and we find that the contribution of the angular momentum to themass appears in the condition for the appearance of ahorizon and leads to the known modifiedBogomolny–Prasad–Sommerfield (bps)relation.

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.