Carroll fermions
Eric A. Bergshoeff, Andrea Campoleoni, Andrea Fontanella, Lea Mele, Jan Rosseel
SciPost Phys. 16, 153 (2024) · published 14 June 2024
- doi: 10.21468/SciPostPhys.16.6.153
- Submissions/Reports
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.
Cited by 4
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Eric A. Bergshoeff,
- 2 Andrea Campoleoni,
- 3 4 Andrea Fontanella,
- 2 Lea Mele,
- 5 Jan Rosseel
- 1 Rijksuniversiteit Groningen / University of Groningen [UG]
- 2 Université de Mons / University of Mons [UMONS]
- 3 Institut Périmètre de physique théorique / Perimeter Institute [PI]
- 4 Coláiste na Tríonóide Baile Átha Cliath / Trinity College Dublin [TCD]
- 5 Institut Ruđer Bošković / Rudjer Boskovic Institute [RBI]
- Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])
- Fondúireacht Eolaíochta Éireann / Science Foundation Ireland [SFI]
- Institut Périmètre de physique théorique / Perimeter Institute [PI]
- Ministry of Colleges and Universities
- Royal Society