PoS - Proceedings of Science
Volume 463 - Corfu Summer Institute 2023 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2023) - Workshop on Quantum Gravity, Strings and the Swampland
Carroll Fermions
E. Bergshoeff*, A. Campoleoni, A. Fontanella, L. Mele and J. Rosseel
Full text: pdf
Published on: July 31, 2024
Abstract
We consider different Carroll limits of relativistic
Dirac fermions in any spacetime dimensions. One limit leads to Carroll fermions that are inert under internal Carroll boosts. We call these fermions electric Carroll fermions. Another limit makes use of projection operators and leads to a second type of Carroll fermion, called magnetic, that does transform non-trivially under Carroll boosts as a reducible but indecomposable representation of the Carroll group. We construct actions for both electric and magnetic Carroll fermions. In particular, in even dimensions we construct an action for a minimal magnetic Carroll fermion that has the same number of components as a Dirac spinor.
DOI: https://doi.org/10.22323/1.463.0235
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