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On massive higher spins and gravity. IV. Arbitrary spin

Yu. M. Zinoviev

Abstract

In this paper, we investigate gravitational interactions of massive fields with arbitrary integer and half-integer spin, trying to construct a vertex that contains both standard minimal and non-minimal interaction terms necessary to make the vertex gauge invariant. We propose an ansatz for these non-minimal terms and show that it leads to a unique solution that correctly reproduces our previous results for spins 5/2, 3 and 7/2, including all possible partially massless limits.

On massive higher spins and gravity. IV. Arbitrary spin

Abstract

In this paper, we investigate gravitational interactions of massive fields with arbitrary integer and half-integer spin, trying to construct a vertex that contains both standard minimal and non-minimal interaction terms necessary to make the vertex gauge invariant. We propose an ansatz for these non-minimal terms and show that it leads to a unique solution that correctly reproduces our previous results for spins 5/2, 3 and 7/2, including all possible partially massless limits.
Paper Structure (11 sections, 58 equations)