Affiliation:
1. University of Groningen
2. University of Mons
3. Perimeter Institute
4. Trinity College Dublin
5. Rudjer Boskovic Institute
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.
Funder
Fonds De La Recherche Scientifique - FNRS
Institut Périmètre de physique théorique
Ministry of Colleges and Universities
Royal Society
Science Foundation Ireland
Cited by
4 articles.
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