
arXiv: 2312.00745
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.
High Energy Physics - Theory, Carroll symmetry, Physique, Physique, chimie, mathématiques & sciences de la terre, Physics, QC1-999, FOS: Physical sciences, higher dimensions, Carroll group, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Physical, chemical, mathematical & earth Sciences, High Energy Physics - Theory (hep-th), non-Lorentzian geometry, fermions, Kaluza-Klein and other higher-dimensional theories, Dirac equation, flat space holography
High Energy Physics - Theory, Carroll symmetry, Physique, Physique, chimie, mathématiques & sciences de la terre, Physics, QC1-999, FOS: Physical sciences, higher dimensions, Carroll group, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Physical, chemical, mathematical & earth Sciences, High Energy Physics - Theory (hep-th), non-Lorentzian geometry, fermions, Kaluza-Klein and other higher-dimensional theories, Dirac equation, flat space holography
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 12 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
