When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries
Abstract We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single free scalar with shift symmetry, modded by reflection...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)042 |
| _version_ | 1797267007744245760 |
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| author | Jeremias Aguilera Damia Riccardo Argurio Soumyadeep Chaudhuri |
| author_facet | Jeremias Aguilera Damia Riccardo Argurio Soumyadeep Chaudhuri |
| author_sort | Jeremias Aguilera Damia |
| collection | DOAJ |
| description | Abstract We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single free scalar with shift symmetry, modded by reflection symmetry. At singular points of the vacuum manifold, we show that the spectrum of NG excitations is reduced, in particular there are no single-particle states. At the smooth points, on the other hand, single NG modes are present. We show that this is a consequence of the fact that at those points one can construct invertible operators implementing the continuous symmetry on the Hilbert space. |
| first_indexed | 2024-04-25T01:09:44Z |
| format | Article |
| id | doaj.art-caadb50e2a3f477cb310ef432c2365e7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-25T01:09:44Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-caadb50e2a3f477cb310ef432c2365e72024-03-10T12:04:36ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024312210.1007/JHEP03(2024)042When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetriesJeremias Aguilera Damia0Riccardo Argurio1Soumyadeep Chaudhuri2Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesPhysique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesPhysique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesAbstract We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single free scalar with shift symmetry, modded by reflection symmetry. At singular points of the vacuum manifold, we show that the spectrum of NG excitations is reduced, in particular there are no single-particle states. At the smooth points, on the other hand, single NG modes are present. We show that this is a consequence of the fact that at those points one can construct invertible operators implementing the continuous symmetry on the Hilbert space.https://doi.org/10.1007/JHEP03(2024)042Global SymmetriesSpontaneous Symmetry BreakingEffective Field Theories |
| spellingShingle | Jeremias Aguilera Damia Riccardo Argurio Soumyadeep Chaudhuri When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries Journal of High Energy Physics Global Symmetries Spontaneous Symmetry Breaking Effective Field Theories |
| title | When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries |
| title_full | When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries |
| title_fullStr | When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries |
| title_full_unstemmed | When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries |
| title_short | When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries |
| title_sort | when the moduli space is an orbifold spontaneous breaking of continuous non invertible symmetries |
| topic | Global Symmetries Spontaneous Symmetry Breaking Effective Field Theories |
| url | https://doi.org/10.1007/JHEP03(2024)042 |
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