Abstract
Higher-spin theory contains a complex coupling parameter η. Different higher-spin vertices are associated with different powers of η and its complex conjugate \( \overline{\eta} \). Using Z-dominance Lemma of [1], that controls spin-locality of the higher-spin equations, we show that the third-order contribution to the zero-form B(Z; Y; K) admits a Z-dominated form that leads to spin-local vertices in the η2 and \( {\overline{\eta}}^2 \) sectors of the higher-spin equations. These vertices include, in particular, the η2 and \( {\overline{\eta}}^2 \) parts of the ϕ4 scalar field vertex.
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ArXiv ePrint: 2009.02811
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Didenko, V.E., Gelfond, O.A., Korybut, A.V. et al. Spin-locality of η2 and \( {\overline{\eta}}^2 \) quartic higher-spin vertices. J. High Energ. Phys. 2020, 184 (2020). https://doi.org/10.1007/JHEP12(2020)184
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DOI: https://doi.org/10.1007/JHEP12(2020)184