Planons and their Carroll-Galilei symmetries
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| author | Figueroa-O'Farrill, José Pekar, Simon Pérez, Alfredo Prohazka, Stefan |
| author_facet | Figueroa-O'Farrill, José Pekar, Simon Pérez, Alfredo Prohazka, Stefan |
| contents | We study the dynamics of planons, particles whose mobility is restricted to a plane, through the classification of coadjoint orbits and unitary irreducible representations of the centrally extended planon group. Planons are closely related to Galilei/Bargmann symmetries and, remarkably, the often-ignored massless coadjoint orbits of the Galilei group play a central rôle in their description. We thereby provide a nontrivial physical interpretation of these orbits. We further construct classical and quantum dipoles as bound states of monopoles, where the restricted planar motion arises from a novel mixed Carroll-Galilei symmetry. We also argue that the simplest and already experimentally realised systems with Carroll symmetry are in crystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Planons and their Carroll-Galilei symmetries Figueroa-O'Farrill, José Pekar, Simon Pérez, Alfredo Prohazka, Stefan High Energy Physics - Theory Strongly Correlated Electrons Representation Theory We study the dynamics of planons, particles whose mobility is restricted to a plane, through the classification of coadjoint orbits and unitary irreducible representations of the centrally extended planon group. Planons are closely related to Galilei/Bargmann symmetries and, remarkably, the often-ignored massless coadjoint orbits of the Galilei group play a central rôle in their description. We thereby provide a nontrivial physical interpretation of these orbits. We further construct classical and quantum dipoles as bound states of monopoles, where the restricted planar motion arises from a novel mixed Carroll-Galilei symmetry. We also argue that the simplest and already experimentally realised systems with Carroll symmetry are in crystals. |
| title | Planons and their Carroll-Galilei symmetries |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Representation Theory |
| url | https://arxiv.org/abs/2508.08390 |