Bilinear Fronsdal currents in the AdS4 higher-spin theory

Abstract 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...

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Main Authors: Yu. A. Tatarenko, M. A. Vasiliev
Format: Article
Language:English
Published: SpringerOpen 2024-07-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP07(2024)246
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author Yu. A. Tatarenko
M. A. Vasiliev
author_facet Yu. A. Tatarenko
M. A. Vasiliev
author_sort Yu. A. Tatarenko
collection DOAJ
description Abstract 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.
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spelling doaj-art-dd86ad82bd4141e9b2b56dd271a91f602025-08-20T02:11:22ZengSpringerOpenJournal of High Energy Physics1029-84792024-07-012024714410.1007/JHEP07(2024)246Bilinear Fronsdal currents in the AdS4 higher-spin theoryYu. A. Tatarenko0M. A. Vasiliev1I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteAbstract 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.https://doi.org/10.1007/JHEP07(2024)246Higher Spin GravityHigher Spin Symmetry
spellingShingle Yu. A. Tatarenko
M. A. Vasiliev
Bilinear Fronsdal currents in the AdS4 higher-spin theory
Journal of High Energy Physics
Higher Spin Gravity
Higher Spin Symmetry
title Bilinear Fronsdal currents in the AdS4 higher-spin theory
title_full Bilinear Fronsdal currents in the AdS4 higher-spin theory
title_fullStr Bilinear Fronsdal currents in the AdS4 higher-spin theory
title_full_unstemmed Bilinear Fronsdal currents in the AdS4 higher-spin theory
title_short Bilinear Fronsdal currents in the AdS4 higher-spin theory
title_sort bilinear fronsdal currents in the ads4 higher spin theory
topic Higher Spin Gravity
Higher Spin Symmetry
url https://doi.org/10.1007/JHEP07(2024)246
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AT mavasiliev bilinearfronsdalcurrentsintheads4higherspintheory