Types of quantum field thories
FQFT and cohomology
The superparticle is a sigma-model quantum field theory analogous to the ordinary relativistic particle but where either the worldline or the target space are taken to be supermanifolds. Described by supersymmetric quantum mechanics.
One way to define what this means classically is to give an action functional on spaces of maps from the worldline into super target space. One such is the
The algebraic data encoded by such a representation is essentially that of a
See there for more details.