Carroll fermions

Bergshoeff, Eric A.; Campoleoni, Andrea; Fontanella, Andrea; Mele, Lea; Rosseel, Jan

doi:10.21468/SciPostPhys.16.6.153

SciPost Physics

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
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.6.153
TI  - Carroll fermions
PY  - 2024/06/14
UR  - https://scipost.org/SciPostPhys.16.6.153
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 6
SP  - 153
A1  - Bergshoeff, Eric A.
AU  - Campoleoni, Andrea
AU  - Fontanella, Andrea
AU  - Mele, Lea
AU  - Rosseel, Jan
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.6.153,
	title={{Carroll fermions}},
	author={Eric A. Bergshoeff and Andrea Campoleoni and Andrea Fontanella and Lea Mele and Jan Rosseel},
	journal={SciPost Phys.},
	volume={16},
	pages={153},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.6.153},
	url={https://scipost.org/10.21468/SciPostPhys.16.6.153},
}

Cited by 5

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Eric A. Bergshoeff,
² Andrea Campoleoni,
³ ⁴ Andrea Fontanella,
² Lea Mele,
⁵ Jan Rosseel

Funders for the research work leading to this publication

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