Abstract

We revisit the problem of classification and explicit construction of the conformal three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions. For the conserved currents, we set up the equations for the conservation conditions and solve them completely for some values of spins, confirming the earlier counting of the number of independent structures matching them with the higher-spin cubic vertices in one higher dimension. The general solution for the correlators of conserved currents we delegate to a follow-up work.

Details

Title
On correlation functions of higher-spin currents in arbitrary dimensions d > 3
Author
Karapetyan, Melik 1 ; Manvelyan, Ruben 1   VIAFID ORCID Logo  ; Mkrtchyan, Karapet 2   VIAFID ORCID Logo 

1  A. Alikhanyan National Laboratory (Yerevan Physics Institute), Yerevan, Armenia (GRID:grid.48507.3e) (ISNI:0000 0004 0482 7128) 
2  Theoretical Physics Group, Blackett Laboratory, Imperial College London, London, U.K. (GRID:grid.7445.2) (ISNI:0000 0001 2113 8111) 
Pages
161
Publication year
2024
Publication date
Mar 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP03(2024)161
ProQuest document ID
3028041838
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.