$\mathcal{N}=2$ higher-spin supercurrents

We have constructed conserved $\mathcal{N}=2$ higher-spin supercurrents for an arbitrary integer spin through the unconstrained superfield formulation of $4D,\mathcal{N}=2$ massless higher-spin theories in the harmonic superspace. The obtained supercurrents are gauge-invariant and determine consistent cubic interactions in the $\mathit{\text{gauge}}\mathit{\text{superfield}}$ $\times$ $\mathit{\text{supercurrent}}$ form for massless spin ${\mathbf{s}}_{\mathbf{1}}$ and two massless spin ${\mathbf{s}}_{\mathbf{2}}$ $\mathcal{N}=2$ supermultiplets. Such interactions and $\mathcal{N}=2$ supercurrents exist only for ${\mathbf{s}}_{\mathbf{1}}\ge 2{\mathbf{s}}_{\mathbf{2}}$. These supercurrents are the $\mathcal{N}=2$ supersymmetric extension of Berends-Burgers-van Dam higher-spin currents and generalize the linearized Bel-Robinson tensor. The relevant $\mathcal{N}=2$ supercurrents can be considered as the descendants of the $\mathcal{N}=2$ principle supercurrent, which has a simple universal structure. An important feature of our outcomes is that, ultimately, all $\mathcal{N}=2$ supercurrents are built from the $\mathcal{N}=2$ superfield strengths, which are constructed from the unconstrained analytical higher-spin prepotentials.