Unconstrained off-shell superfield formulation of 4D, $$ \mathcal{N} $$ = 2 supersymmetric higher spins

A bstract We present, for the first time, complete off-shell 4 D, $$ \mathcal{N} N = 2 superfield actions any free massless integer spin s ≥ fields, using 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 α s − 1 ̇ + , \left(s-2\right)\dot{\alpha}\left(s-2\right)}^{++} 2 and conjugated complex spinor \left(s-1\right)\dot{\alpha}\left(s-1\right)}^{+3} 3 \left(s-2\right)\dot{\alpha}\left(s-1\right)}^{+3} where α ( ) := 1 . \dot{\alpha} ). Like in superspace formulations of Maxwell supergravity theories, an infinite number original degrees freedom reduced to finite set (in WZ-type gauge) due component parameters parameters. On shell, standard content − / restored. For action describes linearized version “minimal” Einstein supergravity.