Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity
Abstract The relation between two branches of solutions (radiative and subradiative) of wave equations on Minkowski spacetime is investigated, for any integer spin, in flat Bondi coordinates where remarkable simplifications occur and allow for exact boundary-to-bulk formulae. Each branch carries a u...
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)255 |
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| author | Xavier Bekaert S. I. Aadharsh Raj |
| author_facet | Xavier Bekaert S. I. Aadharsh Raj |
| author_sort | Xavier Bekaert |
| collection | DOAJ |
| description | Abstract The relation between two branches of solutions (radiative and subradiative) of wave equations on Minkowski spacetime is investigated, for any integer spin, in flat Bondi coordinates where remarkable simplifications occur and allow for exact boundary-to-bulk formulae. Each branch carries a unitary irreducible representation of the Poincaré group, though an exotic one for the subradiative sector. These two branches of solutions are related by an inversion and, together, span a single representation of the conformal group. While radiative modes are realised in the familiar holographic way (either as boundary data at null infinity or as bulk fields with radiative asymptotic behavior), the whole tower of subradiative modes forms an indecomposable representation of the usual Poincaré group, which can be encoded into a single boundary field living on an interior null cone. Lorentz transformations are realised in both cases as conformal transformations of the celestial sphere. The vector space of all subradiative modes carries a unitary representation of a group isomorphic to the Poincaré group, where bulk conformal boosts play the role of bulk translations. |
| format | Article |
| id | doaj-art-acb8224a59714a59b46a9dccdf60a61d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-acb8224a59714a59b46a9dccdf60a61d2024-12-08T12:12:18ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013510.1007/JHEP10(2024)255Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinityXavier Bekaert0S. I. Aadharsh Raj1Institut Denis Poisson, Unité Mixte de Recherche 7013 du CNRS, Université de Tours, Université d’OrléansInstitut Denis Poisson, Unité Mixte de Recherche 7013 du CNRS, Université de Tours, Université d’OrléansAbstract The relation between two branches of solutions (radiative and subradiative) of wave equations on Minkowski spacetime is investigated, for any integer spin, in flat Bondi coordinates where remarkable simplifications occur and allow for exact boundary-to-bulk formulae. Each branch carries a unitary irreducible representation of the Poincaré group, though an exotic one for the subradiative sector. These two branches of solutions are related by an inversion and, together, span a single representation of the conformal group. While radiative modes are realised in the familiar holographic way (either as boundary data at null infinity or as bulk fields with radiative asymptotic behavior), the whole tower of subradiative modes forms an indecomposable representation of the usual Poincaré group, which can be encoded into a single boundary field living on an interior null cone. Lorentz transformations are realised in both cases as conformal transformations of the celestial sphere. The vector space of all subradiative modes carries a unitary representation of a group isomorphic to the Poincaré group, where bulk conformal boosts play the role of bulk translations.https://doi.org/10.1007/JHEP10(2024)255Higher Spin GravityHigher Spin SymmetryScale and Conformal SymmetriesSpace-Time Symmetries |
| spellingShingle | Xavier Bekaert S. I. Aadharsh Raj Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity Journal of High Energy Physics Higher Spin Gravity Higher Spin Symmetry Scale and Conformal Symmetries Space-Time Symmetries |
| title | Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity |
| title_full | Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity |
| title_fullStr | Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity |
| title_full_unstemmed | Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity |
| title_short | Asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity |
| title_sort | asymptotic behaviour of massless fields and kinematic duality between interior null cones and null infinity |
| topic | Higher Spin Gravity Higher Spin Symmetry Scale and Conformal Symmetries Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP10(2024)255 |
| work_keys_str_mv | AT xavierbekaert asymptoticbehaviourofmasslessfieldsandkinematicdualitybetweeninteriornullconesandnullinfinity AT siaadharshraj asymptoticbehaviourofmasslessfieldsandkinematicdualitybetweeninteriornullconesandnullinfinity |