On conformal higher spin wave operators

Abstract

We analyze free conformal higher spin actions and the corresponding wave operators in arbitrary even dimensions and backgrounds. We show that the wave operators do not factorize in general, and identify the Weyl tensor and its derivatives as the obstruction to factorization. We give a manifestly factorized form for them on (A)dS backgrounds for arbitrary spin and on Einstein backgrounds for spin 2. We are also able to fix the conformal wave operator in d=4 for s=3 up to linear order in the Riemann tensor on generic Bach-flat backgrounds.

26 pages, includes Mathematica notebook. Version published in JHEP

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Cited by in corpus (33)

• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Partition function of free conformal higher spin theory
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• Partially-massless higher-spin algebras and their finite-dimensional truncations
• Conformal higher spin scattering amplitudes from twistor space
• Scalar scattering via conformal higher spin exchange
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• Conformal geometry and (super)conformal higher-spin gauge theories
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