Unconventional supersymmetry via the dressing field method

We reconstrue unconventional supersymmetry, a notion introduced by Alvarez-Valenzuela-Zanelli, as an attempt to use the framework of supersymmetric field theory to describe fermionic matter fields and bosonic gauge fields in a unified way, as parts of a single superconnection. It hinges upon the so-called matter ansatz. Unfortunately, the formal and conceptual status of the ansatz has remained unclear, preventing unconventional supersymmetry to be used in a principled way as a general approach beyond the model in which it was first considered. In this paper, we lift this restriction by showing that the ansatz is a special case of the dressing field method, a new systematic tool to exhibit the gauge-invariant content of general-relativistic gauge field theories.