Bilinear Fronsdal currents in the $AdS_{4}$ higher-spin theory
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917877915844608 |
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| author | Tatarenko, Yu. A. Vasiliev, M. A. |
| author_facet | Tatarenko, Yu. A. Vasiliev, M. A. |
| contents | We analyse higher-spin theory with general coupling constant $η$ at the second order, focusing on the gauge non-invariant vertices $Υ(ω,ω)$, $Υ(Ω,ω,C)$ and $Υ(ω,C)$, that are shown to generate nontrivial currents in the Fronsdal equations. Explicit expressions for the currents are found in the frame-like formalism counterpart of the TT gauge worked out in the paper. The nonlinear higher-spin theory is shown to generate all types of Metsaev's currents with the coupling constants manifestly expressed via the complex coupling constant $η$ of the higher-spin theory. It is shown that all currents in the higher-spin theory are conformal in the TT gauge except for those bilinear in the higher-spin gauge fields $ω$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_02452 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bilinear Fronsdal currents in the $AdS_{4}$ higher-spin theory Tatarenko, Yu. A. Vasiliev, M. A. High Energy Physics - Theory We analyse higher-spin theory with general coupling constant $η$ at the second order, focusing on the gauge non-invariant vertices $Υ(ω,ω)$, $Υ(Ω,ω,C)$ and $Υ(ω,C)$, that are shown to generate nontrivial currents in the Fronsdal equations. Explicit expressions for the currents are found in the frame-like formalism counterpart of the TT gauge worked out in the paper. The nonlinear higher-spin theory is shown to generate all types of Metsaev's currents with the coupling constants manifestly expressed via the complex coupling constant $η$ of the higher-spin theory. It is shown that all currents in the higher-spin theory are conformal in the TT gauge except for those bilinear in the higher-spin gauge fields $ω$. |
| title | Bilinear Fronsdal currents in the $AdS_{4}$ higher-spin theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.02452 |