Momentum space CFT correlators of non-conserved spinning operators
Momentum space CFT correlators of non-conserved spinning operators
We analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin $s$ non-conserved operators and a spin 1 conserved current. We give explicit expressions for the 3-point function when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. We also systematically analyse the divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide.
AdS-CFT Correspondence, Higher Spin Symmetry, Scale and Conformal Symmetries
Marotta, Raffaele
e4ccb954-5c66-4987-b4a3-2df534b68289
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Verma, Mritunjay
eefb3825-946d-406e-9f92-c80ba123a3bb
24 March 2023
Marotta, Raffaele
e4ccb954-5c66-4987-b4a3-2df534b68289
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Verma, Mritunjay
eefb3825-946d-406e-9f92-c80ba123a3bb
Marotta, Raffaele, Skenderis, Kostas and Verma, Mritunjay
(2023)
Momentum space CFT correlators of non-conserved spinning operators.
Journal of High Energy Physics, 2023 (3), [196].
(doi:10.1007/JHEP03(2023)196).
Abstract
We analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin $s$ non-conserved operators and a spin 1 conserved current. We give explicit expressions for the 3-point function when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. We also systematically analyse the divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide.
Text
JHEP03(2023)196
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Accepted/In Press date: 17 March 2023
Published date: 24 March 2023
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© 2023, The Author(s).
Keywords:
AdS-CFT Correspondence, Higher Spin Symmetry, Scale and Conformal Symmetries
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Local EPrints ID: 476540
URI: http://eprints.soton.ac.uk/id/eprint/476540
ISSN: 1126-6708
PURE UUID: 49a671c1-0c48-4f27-933a-b5ee2f03fa0f
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Date deposited: 05 May 2023 16:36
Last modified: 17 Mar 2024 03:27
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Author:
Raffaele Marotta
Author:
Mritunjay Verma
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