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Nonrelativistic superparticle in a curved background

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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. We extend our results by adding a supersymmetric cosmological constant and compare the nonrelativistic superparticle with the relativistic κ -symmetric three-dimensional superparticle.

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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Nonrelativistic superparticle in a curved background