The massless integer superspin multiplets revisited

Understand

We propose a new off-shell formulation for the massless ${\cal N}=1$ supersymmetric multiplet of integer superspin $s$ in four dimensions, where $s =2,3,\dots$ (the $s=1$ case corresponds to the gravitino multiplet).

• Its gauge freedom matches that of the superconformal superspin-$s$ multiplet described in arXiv:1701.00682.
• The gauge-invariant action involves two compensating multiplets in addition to the superconformal superspin-$s$ multiplet.
• Upon imposing a partial gauge fixing, this action reduces to the one describing the so-called longitudinal formulation for the massless superspin-$s$ multiplet.