Quantum Carroll/fracton particles

A bstract 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 s...

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Published inThe journal of high energy physics Vol. 2023; no. 10; pp. 41 - 62
Main Authors Figueroa-O’Farrill, José, Pérez, Alfredo, Prohazka, Stefan
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 06.10.2023
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Dipoles
Elementary Particles
Global Symmetries
High energy physics
Lie groups
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Space-Time Symmetries
Spacetime
String Theory
Global Symmetries
Space-Time Symmetries
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Summary:A bstract 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.
Bibliography:ObjectType-Article-1
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2023)041