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.
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Acknowledgments
R. M. would like to thank Stefan Theisen, Rubik Poghossian and Aleksey Isaev for many valuable discussions during long period of preparation of this paper, and special gratitude to Ruben Mkrtchyan for productive and focused on result discussions. R. M. and M. K. where supported by the Science Committee of RA, in the frames of the research project # 21AG-1C060. K. M. was supported by the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Skłodowska-Curie Grant No. 844265, UKRI and STFC Consolidated Grants ST/T000791/1 and ST/X000575/1.
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Karapetyan, M., Manvelyan, R. & Mkrtchyan, K. On correlation functions of higher-spin currents in arbitrary dimensions d > 3. J. High Energ. Phys. 2024, 161 (2024). https://doi.org/10.1007/JHEP03(2024)161
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DOI: https://doi.org/10.1007/JHEP03(2024)161