Spinning particles and background fields

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the string. There are indications that particle models with extended supersymmetry can replicate this behavior. The bosonic sector of supergravity, comprising the metric, the Kalb-Ramond 2-form and the dilaton scalar field, was already shown to derive from Becchi-Rouet-Stora-Tyutin quantization of the $N=4$ spinning particle. Expanding on these results, here we discuss how to retrieve other Supergravity fields in the background.