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arXiv · 1912.00652

Generalised conformal higher-spin fields in curved backgrounds

Sergei M. Kuzenko·Michael Ponds
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Abstract

The problem of constructing gauge-invariant actions for conformal higher-spin fields in curved backgrounds is known to be notoriously difficult. In this paper we present gauge-invariant models for conformal maximal depth fields with spin $s=5/2$ and $s=3$ in four-dimensional Bach-flat backgrounds. We find that certain lower-spin fields must be introduced to ensure gauge invariance when $s>2$, which is analogous to a conjecture made earlier in the literature for conformal higher-spin fields of minimal depth.

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Sergei M. Kuzenko, Michael Ponds. 2020-05-28. Generalised conformal higher-spin fields in curved backgrounds. https://doi.org/10.1007/jhep04(2020)021

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