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Scattering of conformal higher spin fields

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Title: Scattering of conformal higher spin fields
Authors: Adamo, T
Nakach, S
Tseytlin, AA
Item Type: Journal Article
Abstract: We develop a formalism for describing the most general notion of tree-level scattering amplitudes in 4d conformal higher spin theory. As conformal higher spin fields obey higher-derivative equations of motion, there are many distinct on-shell external states which may contribute to their scattering, some of which grow polynomially with time, leading to ill-defined amplitudes. We characterize the set of admissible scattering states which produce finite tree amplitudes, noting that there are more such states than just standard massless higher spins obeying two-derivative equations of motion. We use conformal gravity as a prime example, where the set of scattering states includes the usual Einstein graviton and a ‘ghost’ massless spin 1 particle. An extension of the usual spinor helicity formalism allows us to encode these scattering states efficiently in terms of ‘twistor-spinors’. This leads to compact momentum space expressions for all finite tree-level 3-point amplitudes of conformal higher spin theory. While some of these 3-point amplitudes vanish (including all those with only standard two-derivative higher spin external states), there are many others which are non-vanishing. We also comment on the generalization to scattering of conformal higher spins in AdS4.
Issue Date: 3-Jul-2018
Date of Acceptance: 20-Jun-2018
URI: http://hdl.handle.net/10044/1/65960
DOI: https://dx.doi.org/10.1007/JHEP07(2018)016
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Journal / Book Title: Journal of High Energy Physics
Volume: 2018
Issue: 7
Copyright Statement: © 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 - https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Scattering Amplitudes
Higher Spin Symmetry
TWISTOR CONNECTION
PARTITION-FUNCTION
STRING THEORY
GAUGE-THEORY
SUPERGRAVITY
GRAVITY
SPACE
hep-th
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: 016
Online Publication Date: 2018-07-03
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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