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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/131548

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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BERGSHOEFF, Eric, et al. Nonrelativistic superparticle in a curved background. Physical Review D. 2014. Vol. 90, num. 6, pags. 065006. ISSN 1550-7998. [consulted: 6 of October of 2026]. Available at: https://hdl.handle.net/2445/131548

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