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arXiv · 1710.10970

Non-relativistic Spinning Particle in a Newton-Cartan Background

Andrea Barducci·Roberto Casalbuoni·Joaquim Gomis
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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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Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis. 2017-10-30. Non-relativistic Spinning Particle in a Newton-Cartan Background. https://doi.org/10.1007/jhep01(2018)002

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