Carroll Fermions
High Energy Physics - Theory
2024-06-17 v2
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.
Keywords
Cite
@article{arxiv.2312.00745,
title = {Carroll Fermions},
author = {Eric A. Bergshoeff and Andrea Campoleoni and Andrea Fontanella and Lea Mele and Jan Rosseel},
journal= {arXiv preprint arXiv:2312.00745},
year = {2024}
}
Comments
30 pages. References and minor clarifications added