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@article{Grigoriev:2017:1751-8121/aa5c5f,
author = {Grigoriev, M and Tseytlin, AA},
doi = {1751-8121/aa5c5f},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {On conformal higher spins in curved background},
url = {http://dx.doi.org/10.1088/1751-8121/aa5c5f},
volume = {50},
year = {2017}
}

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TY  - JOUR
AB  - We address the question of how to represent an interacting action for a tower of conformal higher spin fields in a form covariant with respect to a background metric. We use the background metric to define the star product which plays a central role in the definition of the corresponding gauge transformations. By analogy with the kinetic term in the 4-derivative Weyl gravity action expanded near an on-shell background one expects that the kinetic term in such an action should be gauge-invariant in a Bach-flat metric. We demonstrate this fact to first order in expansion in powers of the curvature of the background metric. This generalizes the result of arXiv:1404.7452 for spin 3 case to all conformal higher spins. We also comment on a possibility of extending this claim to terms quadratic in the curvature and discuss the appearance of background-dependent mixing terms in the quadratic part of the conformal higher spin action.
AU  - Grigoriev,M
AU  - Tseytlin,AA
DO  - 1751-8121/aa5c5f
PY  - 2017///
SN  - 1751-8113
TI  - On conformal higher spins in curved background
T2  - Journal of Physics A: Mathematical and Theoretical
UR  - http://dx.doi.org/10.1088/1751-8121/aa5c5f
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000411151500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/65969
VL  - 50
ER  -

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