Abstract
We give an explicit superspace construction of higher spin conserved supercurrents built out of 4D, \( \mathcal{N}=1 \) massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic interactions between a massless supermultiplet with superspin Y1 = s1 + 1/2 and two massless supermultiplets of arbitrary superspin Y2. These interactions are possible only for s1 ≥ 2Y2. At the equality, the supercurrent acquires its simplest form and defines the supersymmetric, higher spin extension of the linearized Bel-Robinson tensor.
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Buchbinder, I.L., Gates, S.J. & Koutrolikos, K. Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions. J. High Energ. Phys. 2018, 55 (2018). https://doi.org/10.1007/JHEP08(2018)055
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DOI: https://doi.org/10.1007/JHEP08(2018)055