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Generalised conformal higher-spin fields in curved backgrounds

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arxiv 1912.00652 v3 pith:A7IEGICB submitted 2019-12-02 hep-th math-phmath.MP

Sergei M. Kuzenko , Michael Ponds This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords fieldsconformalbackgroundshigher-spincurveddepthgauge-invariantactions
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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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Cited by 1 Pith paper

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  1. Scalar Field on a higher-spin Background via Fedosov quantization

    hep-th 2024-12 conditional novelty 6.0 of 10

    A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.

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