Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
Abstract The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS4 generator, this action provides a field theory in two plus one spacetim...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2022)154 |
| _version_ | 1797860112361062400 |
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| author | Glenn Barnich Kevin Nguyen Romain Ruzziconi |
| author_facet | Glenn Barnich Kevin Nguyen Romain Ruzziconi |
| author_sort | Glenn Barnich |
| collection | DOAJ |
| description | Abstract The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS4 generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS4 Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity. |
| first_indexed | 2024-04-09T21:40:34Z |
| format | Article |
| id | doaj.art-c5123ec9ee324abb94c8fe3dd4730817 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:40:34Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c5123ec9ee324abb94c8fe3dd47308172023-03-26T11:04:18ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221212110.1007/JHEP12(2022)154Geometric action for extended Bondi-Metzner-Sachs group in four dimensionsGlenn Barnich0Kevin Nguyen1Romain Ruzziconi2Physique Théorique et Mathématique, Université libre de Bruxelles and International Solvay InstitutesDepartment of Mathematics, King’s College LondonInstitute for Theoretical Physics, TU WienAbstract The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS4 generator, this action provides a field theory in two plus one spacetime dimensions whose Poisson bracket algebra of Noether charges realizes the extended BMS4 Lie algebra. The Poisson structure of the model includes the classical version of the operator product expansions that have appeared in the context of celestial holography. Furthermore, the model reproduces the evolution equations of non-radiative asymptotically flat spacetimes at null infinity.https://doi.org/10.1007/JHEP12(2022)154Classical Theories of GravityModels of Quantum GravitySigma ModelsSpace-Time Symmetries |
| spellingShingle | Glenn Barnich Kevin Nguyen Romain Ruzziconi Geometric action for extended Bondi-Metzner-Sachs group in four dimensions Journal of High Energy Physics Classical Theories of Gravity Models of Quantum Gravity Sigma Models Space-Time Symmetries |
| title | Geometric action for extended Bondi-Metzner-Sachs group in four dimensions |
| title_full | Geometric action for extended Bondi-Metzner-Sachs group in four dimensions |
| title_fullStr | Geometric action for extended Bondi-Metzner-Sachs group in four dimensions |
| title_full_unstemmed | Geometric action for extended Bondi-Metzner-Sachs group in four dimensions |
| title_short | Geometric action for extended Bondi-Metzner-Sachs group in four dimensions |
| title_sort | geometric action for extended bondi metzner sachs group in four dimensions |
| topic | Classical Theories of Gravity Models of Quantum Gravity Sigma Models Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP12(2022)154 |
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