Quantum Carroll/fracton particles
Abstract
We classify and relate unitary irreducible representations (UIRs) of the Carroll and dipole groups, i.e., we define elementary quantum Carroll and fracton particles and establish a correspondence between them. Whenever possible, we express the UIRs in terms of fields on Carroll/aristotelian spacetime subject to their free field equations. We emphasise that free massive (or "electric") Carroll and fracton quantum field theories are ultralocal field theories and highlight their peculiar and puzzling thermodynamic features. We also comment on subtle differences between massless and "magnetic" Carroll field theories and discuss the importance of Carroll and fractons symmetries for flat space holography.
Cite
@article{arxiv.2307.05674,
title = {Quantum Carroll/fracton particles},
author = {José Figueroa-O'Farrill and Alfredo Pérez and Stefan Prohazka},
journal= {arXiv preprint arXiv:2307.05674},
year = {2023}
}
Comments
61 pages, 1 figure; v2: References added, minor modifications