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On d4 Irreducible Massless Higher Spin Fields and Its Cubic Interactions

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Abstract

In this paper we construct the cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component multispinor indices. Such fields automatically satisfy the traceless conditions what simplify the equations determining the irreducible massless representation of the Poincaré group. Using the BRST approach we derive the equation for the cubic vertex and find the solutions for arbitrary spins \({{s}_{1}},{{s}_{2}},{{s}_{3}}\) and one special cases of maximal number of derivatives in the vertex.

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Funding

The work is supported by the Ministry of Education of the Russian Federation, project QZOY-2023-0003.

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Correspondence to T. V. Snegirev.

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Snegirev, T.V. On d4 Irreducible Massless Higher Spin Fields and Its Cubic Interactions. Phys. Part. Nuclei 54, 1080–1083 (2023). https://doi.org/10.1134/S1063779623060242

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  • DOI: https://doi.org/10.1134/S1063779623060242

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