A microscopic analogue of the BMS group
Abstract We consider a microscopic analogue of the BMS analysis of asymptotic symmetries by analysing universal geometric structures on infinitesimal tangent light cones. Thereby, two natural microscopic symmetry groups arise: a non-trivially represented Lorentz group and a BMS-like group. The latte...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2023)136 |
| _version_ | 1797769716593328128 |
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| author | Daniel Alexander Weiss |
| author_facet | Daniel Alexander Weiss |
| author_sort | Daniel Alexander Weiss |
| collection | DOAJ |
| description | Abstract We consider a microscopic analogue of the BMS analysis of asymptotic symmetries by analysing universal geometric structures on infinitesimal tangent light cones. Thereby, two natural microscopic symmetry groups arise: a non-trivially represented Lorentz group and a BMS-like group. The latter has a rich mathematical structure, since it contains the former as a non-canonical subgroup, next to infinitely many other Lorentz subgroups. None of those Lorentz subgroups appears to be intrinsically preferred, and hence, the microscopic BMS-like group constitutes a natural symmetry group for infinitesimal tangent light cones. We compare our investigation with the classical BMS analysis and show, that the microscopic BMS-like group is a gauge group for the bundle of null vectors. Motivated by the various applications of the original BMS group, our findings could have interesting implications: they identify a geometric structure that could be suitable for a bulk analysis of gravitational waves, they suggest a possible enlargement of the fundamental gauge group of gravity and they motivate the possibility of an interrelation between the UV structure of gauge theories, gravitational memory effects and BMS-like symmetries. Also, our results imply, that BMS-like groups arise not only as macroscopic, asymptotic symmetry groups in cosmology, but describe also a fundamental and seemingly unknown microscopic symmetry of pseudo-Riemannian geometry. |
| first_indexed | 2024-03-12T21:12:59Z |
| format | Article |
| id | doaj.art-784a10f13c6f4987bc84069338c68171 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:59Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-784a10f13c6f4987bc84069338c681712023-07-30T11:04:02ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023414610.1007/JHEP04(2023)136A microscopic analogue of the BMS groupDaniel Alexander Weiss0Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenAbstract We consider a microscopic analogue of the BMS analysis of asymptotic symmetries by analysing universal geometric structures on infinitesimal tangent light cones. Thereby, two natural microscopic symmetry groups arise: a non-trivially represented Lorentz group and a BMS-like group. The latter has a rich mathematical structure, since it contains the former as a non-canonical subgroup, next to infinitely many other Lorentz subgroups. None of those Lorentz subgroups appears to be intrinsically preferred, and hence, the microscopic BMS-like group constitutes a natural symmetry group for infinitesimal tangent light cones. We compare our investigation with the classical BMS analysis and show, that the microscopic BMS-like group is a gauge group for the bundle of null vectors. Motivated by the various applications of the original BMS group, our findings could have interesting implications: they identify a geometric structure that could be suitable for a bulk analysis of gravitational waves, they suggest a possible enlargement of the fundamental gauge group of gravity and they motivate the possibility of an interrelation between the UV structure of gauge theories, gravitational memory effects and BMS-like symmetries. Also, our results imply, that BMS-like groups arise not only as macroscopic, asymptotic symmetry groups in cosmology, but describe also a fundamental and seemingly unknown microscopic symmetry of pseudo-Riemannian geometry.https://doi.org/10.1007/JHEP04(2023)136Gauge SymmetrySpace-Time SymmetriesClassical Theories of GravityScale and Conformal Symmetries |
| spellingShingle | Daniel Alexander Weiss A microscopic analogue of the BMS group Journal of High Energy Physics Gauge Symmetry Space-Time Symmetries Classical Theories of Gravity Scale and Conformal Symmetries |
| title | A microscopic analogue of the BMS group |
| title_full | A microscopic analogue of the BMS group |
| title_fullStr | A microscopic analogue of the BMS group |
| title_full_unstemmed | A microscopic analogue of the BMS group |
| title_short | A microscopic analogue of the BMS group |
| title_sort | microscopic analogue of the bms group |
| topic | Gauge Symmetry Space-Time Symmetries Classical Theories of Gravity Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP04(2023)136 |
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