Academic Journal
Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins
| Τίτλος: | Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins |
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| Συγγραφείς: | Melik Karapetyan, Ruben Manvelyan |
| Πηγή: | Journal of High Energy Physics. 2025(9):1-24 |
| Στοιχεία εκδότη: | Springer, 2025. |
| Έτος έκδοσης: | 2025 |
| Συλλογή: | Journal of High Energy Physics |
| Περιγραφή: | We propose a new constructive approach to the solutions of the conservation condition for the three point conformal correlation function in the Osborn-Petkou formulation [68] generalized by the authors [94] for higher spins. We propose for correlation functions of the same spin conformal currents the general hypothesis that the Osborn-Petkou structural tensor of higher spins satisfying the right symmetry conditions can be obtained from the combination of the principal terms of spin one and two structural tensors raised to the degree corresponding to the value of spin $\textit{s}$. We verified this hypothesis for the case of spin three and four and showed that the construction of the conserved three point function can be reduced to the algebraic task of canceling the right hand sides of the divergences of constructed terms. Moreover it follows from this consideration that for spin three and four cases our solutions can be interpreted as the $\textit{CFT}$-dual to the cubic interaction in the AdS space with one dimension more. |
| Original Identifier: | 2505.16634 |
| Γλώσσα: | English |
| DOI: | 10.1007/JHEP09(2025)073 |
| Σύνδεσμος πρόσβασης: | https://doi.org/10.1007/JHEP09(2025)073 |
| Rights: | The Author(s), 2025 CC-BY-4.0 URL: http://creativecommons.org/licenses/by/4.0/ |
| Αριθμός Καταχώρησης: | edscop.100988 |
| Βάση Δεδομένων: | SCOAP3 |
| DOI: | 10.1007/JHEP09(2025)073 |
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