Adding supersymmetry to the worldline of a relativistic scalar particle can be regarded as a means to endow the particle with a spin-1/2 at the classical level (Brink-Di Vecchia-Howe 1977). Moreover, BRST quantization of a N-supersymmetric theory in the worldline yields the cohomology of a N/2-spin particle.

For now, this supersymmetric worldline approach has been used, in the N=2 case, to find the vertices for Yang-Mills theory and compute tree level and 1-loop amplitudes (Dai-Huan-Siegel 2008). For the N=4 superparticle, imposing a consistency condition on the BRST differential has yielded Einstein gravity and NS-NS Supergravity (Bonezzi-Meyer-Sachs 2020). On the contrary, the R-R fields, which are in a representation of the algebra in the N=2 case, have not been studied yet. We try to fill this gap. This is on-going work with Ivo Sachs and Daniel Bockisch.