Journal of High Energy Physics

, 2018:33 | Cite as

On the structure of the conformal higher-spin wave operators

  • Maxim GrigorievEmail author
  • Aliaksandr Hancharuk
Open Access
Regular Article - Theoretical Physics


We study conformal higher spin (CHS) fields on constant curvature backgrounds. By employing parent formulation technique in combination with tractor description of GJMS operators we find a manifestly factorized form of the CHS wave operators for symmetric fields of arbitrary integer spin s and gauge invariance of arbitrary order ts. In the case of the usual Fradkin-Tseytlin fields t = 1 this gives a systematic derivation of the factorization formulas known in the literature while for t > 1 the explicit formulas were not known. We also relate the gauge invariance of the CHS fields to the partially-fixed gauge invariance of the factors and show that the factors can be identified with (partially gauge-fixed) wave operators for (partially)-massless or special massive fields. As a byproduct, we establish a detailed relationship with the tractor approach and, in particular, derive the tractor form of the CHS equations and gauge symmetries.


Conformal Field Theory Gauge Symmetry AdS-CFT Correspondence Higher Spin Symmetry 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Tamm Department of Theoretical PhysicsLebedev Physical InstituteMoscowRussia
  2. 2.Moscow Institute of Physics and TechnologyDolgoprudnyiRussia

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