Quantum Carroll/fracton particles

• DOI: 10.1007/jhep10(2023)041
• Publication Date: 2023-10-07T05:01:49Z
• Authors: José Figueroa-O’F...; Alfredo Pérez; Stefan Prohazka
• Keywords: Global Symmetries; High Energy Physics - Theory; Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); Space-Time Symmetries; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); 01 natural sciences; General Relativity and Quantum Cosmology; Condensed Matter - Strongly Correlated Electrons; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Condensed Matter - Statistical Mechanics

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/Aristotle 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.