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arXiv · 2301.04332

On interactions of massless integer high spin and scalar fields

P. M. Lavrov
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Abstract

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one higher spin $s$ field and arbitrary number of scalar fields and being invariant under original gauge transformations are described with the help of one local totally symmetric $(s-2)$-rank tensor of scalar fields. This tensor is explicitly constructed for particular cases related to cubic vertices for spin $s$ and vertices of an arbitrary order for spin $s=4$.

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P. M. Lavrov. 2023-01-11. On interactions of massless integer high spin and scalar fields. https://arxiv.org/abs/2301.04332

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