Carroll Fermions

Fuente: arXiv
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Autori principali: Bergshoeff, Eric A., Campoleoni, Andrea, Fontanella, Andrea, Mele, Lea, Rosseel, Jan
Natura: Preprint
Pubblicazione: 2023
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author Bergshoeff, Eric A.
Campoleoni, Andrea
Fontanella, Andrea
Mele, Lea
Rosseel, Jan
author_facet Bergshoeff, Eric A.
Campoleoni, Andrea
Fontanella, Andrea
Mele, Lea
Rosseel, Jan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_00745
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Carroll Fermions
Bergshoeff, Eric A.
Campoleoni, Andrea
Fontanella, Andrea
Mele, Lea
Rosseel, Jan
High Energy Physics - Theory
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.
title Carroll Fermions
topic High Energy Physics - Theory
url https://arxiv.org/abs/2312.00745