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arXiv · 2312.00745

Carroll Fermions

Eric A. Bergshoeff·Andrea Campoleoni·Andrea Fontanella·Lea Mele·Jan Rosseel
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Abstract

Using carefully chosen projections, we consider different Carroll limits of relativistic Dirac fermions in any spacetime dimensions. These limits define Carroll fermions of two types: electric and magnetic. The latter type transforms as a reducible but indecomposable representation of the Carroll group. We also build action principles for all Carroll fermions we introduce; in particular, in even dimensions we provide an action principle for a minimal magnetic Carroll fermion, having the same number of components as a Dirac spinor. We then explore the coupling of these fermions to magnetic Carroll gravity in both its first-order and second-order formulations.

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Eric A. Bergshoeff, Andrea Campoleoni, Andrea Fontanella, Lea Mele, Jan Rosseel. 2023-12-01. Carroll Fermions. https://arxiv.org/abs/2312.00745

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