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On conformal higher spin wave operators

MPS-Authors
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Nutma,  Teake
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Taronna,  Massimo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1404.7452.pdf
(Preprint), 275KB

JHEP2014_066.pdf
(Any fulltext), 537KB

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Citation

Nutma, T., & Taronna, M. (2014). On conformal higher spin wave operators. Journal of high energy physics: JHEP, 2014(06): 066. doi:10.1007/JHEP06(2014)066.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0019-7FDF-1
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.