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@article{Beccaria:2016:10.1007/JHEP09(2016)034,
author = {Beccaria, M and Nakach, S and Tseytlin, AA},
doi = {10.1007/JHEP09(2016)034},
journal = {Journal of High Energy Physics},
title = {On triviality of S-matrix in conformal higher spin theory},
url = {http://dx.doi.org/10.1007/JHEP09(2016)034},
volume = {2016},
year = {2016}
}

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TY  - JOUR
AB  - We consider the conformal higher spin (CHS) theory in d = 4 that contains thes = 1 Maxwell vector, s = 2 Weyl graviton and their higher spin s = 3, 4, . . . counterpartswith higher-derivative s kinetic terms. The interacting action for such theory can befound as the coefficient of the logarithmically divergent part in the induced action forsources coupled to higher spin currents in a free complex scalar field model. We explicitlydetermine some cubic and quartic interaction vertices in the CHS action from scalar loopintegrals. We then compute the simplest tree-level 4-particle scattering amplitudes 11→11,22→22 and 11→22 and find that after summing up all the intermediate CHS exchanges theyvanish. This generalises the vanishing of the scattering amplitude for external conformalscalars interacting via the exchange of all CHS fields found earlier in arXiv:1512.08896.This vanishing should generalise to all scattering amplitudes in the CHS theory and asin the conformal scalar scattering case should be a consequence of the underlying infinitedimensional higher spin symmetry that extends the standard conformal symmetry.
AU  - Beccaria,M
AU  - Nakach,S
AU  - Tseytlin,AA
DO  - 10.1007/JHEP09(2016)034
PY  - 2016///
SN  - 1029-8479
TI  - On triviality of S-matrix in conformal higher spin theory
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP09(2016)034
UR  - http://hdl.handle.net/10044/1/52788
VL  - 2016
ER  -

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