Carroll fermions of arbitrary spin
Electric and magnetic Carrollian actions for fermions of arbitrary spin in any spacetime dimension are defined as inequivalent $c \to 0$ limits of the relativistic Fang-Fronsdal actions.
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arXiv subjects
Lea Mele
Publications and source records attributed to Lea Mele.
A geometrical invitation to BMS group theory
In these lecture notes, a group-theoretical introduction to BMS symmetries is provided in a self-contained manner. More precisely, all definitions and structures are purely based on geometrical and group-theoretical notions defined at null infinity and valid in any dimension, in a way that circumvents its traditional bulk realisation as asymptotic symmetries. The topics which are reviewed are: the definition of BMS transformations as conformal Carrollian isometries of null infinity, the semidirect structure of the BMS group, the holographic reconstruction of Minkowski spacetime in terms of good cuts, the one-to-one correspondence between good cut subspaces and Poincar\'e subgroups (aka vacua), as well as a basic introduction to unitary representations of the BMS group.
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Carroll spinors
This crisp summary of salient aspects of Carroll spinors is dedicated to the memory of Dharam Ahluwalia, the intrepid champion of ELKO spinors.
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Carroll Fermions
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.
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