Abstract
We present, for the first time, the complete off-shell 4D, \( \mathcal{N} \) = 2 superfield actions for any free massless integer spin s ≥ 2 fields, using the \( \mathcal{N} \) = 2 harmonic super-space approach. The relevant gauge supermultiplet is accommodated by two real analytic bosonic superfields \( {h}_{\alpha \left(s-1\right)\dot{\alpha}\left(s-1\right)}^{++} \), \( {h}_{\alpha \left(s-2\right)\dot{\alpha}\left(s-2\right)}^{++} \) and two conjugated complex analytic spinor superfields \( {h}_{\alpha \left(s-1\right)\dot{\alpha}\left(s-1\right)}^{+3} \), \( {h}_{\alpha \left(s-2\right)\dot{\alpha}\left(s-1\right)}^{+3} \), where α(s) := (α1 . . . αs), \( \dot{\alpha} \)(s) := (\( \dot{\alpha} \)1. . . \( \dot{\alpha} \)s). Like in the harmonic superspace formulations of \( \mathcal{N} \) = 2 Maxwell and supergravity theories, an infinite number of original off-shell degrees of freedom is reduced to the finite set (in WZ-type gauge) due to an infinite number of the component gauge parameters in the analytic superfield parameters. On shell, the standard spin content (s, s − 1/2, s − 1/2, s − 1) is restored. For s = 2 the action describes the linearized version of “minimal” \( \mathcal{N} \) = 2 Einstein supergravity.
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ArXiv ePrint: 2109.07639
Dedicated to Emery Sokatchev on the occasion of his 70th birthday
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Buchbinder, I., Ivanov, E. & Zaigraev, N. Unconstrained off-shell superfield formulation of 4D, \( \mathcal{N} \) = 2 supersymmetric higher spins. J. High Energ. Phys. 2021, 16 (2021). https://doi.org/10.1007/JHEP12(2021)016
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DOI: https://doi.org/10.1007/JHEP12(2021)016