  There has been a renewed interest in the description of dressed asymptotic
states a la Faddeev-Kulish. In this regard, a worldline representation for
asymptotic states dressed by radiation at subleading power in the soft
expansion, known as the Generalized Wilson Line (GWL) in the literature, has
been available for some time, and it recently found applications in the
derivation of factorization theorems for scattering processes of
phenomenological relevance. In this paper we revisit the derivation of the GWL
in the light of the well-known supersymmetric wordline formalism for the
relativistic spinning particle. In particular, we discuss the importance of
wordline supersymmetry to understand the contribution of the soft background
field to the asymptotic dynamics. We also provide a derivation of the GWL for
the gluon case, which was not previously available in the literature, thus
extending the exponentiation of next-to-soft gauge boson corrections to
Yang-Mills theory. Finally, we comment about possible applications in the
current research about asymptotic states in scattering amplitudes for gauge and
gravity theories and their classical limit.
