Arbitrary spin field equations on curved manifolds with torsion

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Abstract
The authors generalise previous work (Christensen and Duff 1979) on a simple set of arbitrary spin field equations for fields propagating on curved manifolds without torsion. As a prelude to an extensive study of index theorems and anomalies in the case of non-zero torsion, new arbitrary spin field equations are developed and the consistency conditions discussed. Some of the machinery needed for future investigations of arbitrary spin fields is developed using the two-component spinor formalism.