The Non-Relativistic Superparticle in a Curved Background

Understand

Using a component formulation, we construct the supersymmetric action for a superparticle in a three-dimensional Newton-Cartan supergravity background and clarify its symmetries.

• Our construction proceeds by first constructing the superparticle in a flat background.
• Next, by boosting up the background symmetries, we replace in a first step the flat background by a Galilean supergravity background.
• In a second step the Galilean supergravity background is replaced by a Newton-Cartan supergravity background.