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arXiv · 2012.00482

Cubic interaction vertices for massless higher spin supermultiplets in d=4

M. V. Khabarov·Yu. M. Zinoviev
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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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M. V. Khabarov, Yu. M. Zinoviev. 2020-12-01. Cubic interaction vertices for massless higher spin supermultiplets in d=4. https://doi.org/10.1007/jhep02(2021)167

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