Abstract
We construct a range of supersymmetric cubic vertices for three massless higher spin supermultiplets in the four-dimensional space. We use frame-like multispinor formalism, which allows to avoid most of the technical difficulties and provides a uniform description for bosons and fermions. Our work is based on the so-called Fradkin-Vasiliev formalism for construction of the cubic vertices, which requires the non-zero cosmological constant. Thus we first construct the vertices in AdS space and then consider the flat limit. We show that the AdS supersymmetric vertex is a sum of four elementary vertices for supermultiplet components, while one of the vertices vanishes in the flat limit in agreement with the Metsaev’s classification.
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ArXiv ePrint: 2012.00482
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Khabarov, M.V., Zinoviev, Y.M. Cubic interaction vertices for massless higher spin supermultiplets in d = 4. J. High Energ. Phys. 2021, 167 (2021). https://doi.org/10.1007/JHEP02(2021)167
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DOI: https://doi.org/10.1007/JHEP02(2021)167