Generalised conformal higher-spin fields in curved backgrounds

Sergei M. Kuzenko; Michael Ponds

doi:10.1007/JHEP04(2020)021

Generalised conformal higher-spin fields in curved backgrounds

Sergei M. Kuzenko, Michael Ponds

Physics

Research output: Contribution to journal › Article

1 Citation (Scopus)

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.

Original language	English
Article number	21
Journal	Journal of High Energy Physics
Volume	2020
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2020)021
Publication status	Published - 1 Apr 2020

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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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