Abstract
We construct the action of a non-relativistic spinning particle moving in a general torsionless Newton-Cartan background. The particle does not follow the geodesic equations, instead the motion is governed by the non-relativistic analog of Papapetrou equation. The spinning particle is described in terms of Grassmann variables. In the flat case the action is invariant under the non-relativistic analog of space-time vector supersymmetry.
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Barducci, A., Casalbuoni, R. & Gomis, J. Non-relativistic spinning particle in a Newton-Cartan background. J. High Energ. Phys. 2018, 2 (2018). https://doi.org/10.1007/JHEP01(2018)002
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DOI: https://doi.org/10.1007/JHEP01(2018)002