On correlation functions of higher-spin currents in arbitrary dimensions $d>3$

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Main Authors: Karapetyan, Melik, Manvelyan, Ruben, Mkrtchyan, Karapet
Format: Preprint
Published: 2023
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author Karapetyan, Melik
Manvelyan, Ruben
Mkrtchyan, Karapet
author_facet Karapetyan, Melik
Manvelyan, Ruben
Mkrtchyan, Karapet
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2309_05129
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
Karapetyan, Melik
Manvelyan, Ruben
Mkrtchyan, Karapet
High Energy Physics - Theory
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.
title On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
topic High Energy Physics - Theory
url https://arxiv.org/abs/2309.05129