Conformal wavefunctions for graviton amplitudes
Abstract The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons. To reduce the equation of motion to a Schrodinge...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2022)148 |
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| author | Chang Liu David A. Lowe |
| author_facet | Chang Liu David A. Lowe |
| author_sort | Chang Liu |
| collection | DOAJ |
| description | Abstract The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons. To reduce the equation of motion to a Schrodinger-like equation it is necessary to impose a non-covariant gauge condition. Using these solutions, leading-order gauge invariant Weyl scalars are then computed and decomposed into families of unitary principal series representations. An invertible holographic mapping is constructed between these unitary principal series operators and massless spin-2 perturbations of flat spacetime. |
| first_indexed | 2024-12-23T11:45:26Z |
| format | Article |
| id | doaj.art-b7454bed8d9a479b843319e33bff9779 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T11:45:26Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b7454bed8d9a479b843319e33bff97792022-12-21T17:48:22ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022111410.1007/JHEP01(2022)148Conformal wavefunctions for graviton amplitudesChang Liu0David A. Lowe1Department of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons. To reduce the equation of motion to a Schrodinger-like equation it is necessary to impose a non-covariant gauge condition. Using these solutions, leading-order gauge invariant Weyl scalars are then computed and decomposed into families of unitary principal series representations. An invertible holographic mapping is constructed between these unitary principal series operators and massless spin-2 perturbations of flat spacetime.https://doi.org/10.1007/JHEP01(2022)148Gauge-Gravity CorrespondenceModels of Quantum GravitySpace-Time Symmetries |
| spellingShingle | Chang Liu David A. Lowe Conformal wavefunctions for graviton amplitudes Journal of High Energy Physics Gauge-Gravity Correspondence Models of Quantum Gravity Space-Time Symmetries |
| title | Conformal wavefunctions for graviton amplitudes |
| title_full | Conformal wavefunctions for graviton amplitudes |
| title_fullStr | Conformal wavefunctions for graviton amplitudes |
| title_full_unstemmed | Conformal wavefunctions for graviton amplitudes |
| title_short | Conformal wavefunctions for graviton amplitudes |
| title_sort | conformal wavefunctions for graviton amplitudes |
| topic | Gauge-Gravity Correspondence Models of Quantum Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP01(2022)148 |
| work_keys_str_mv | AT changliu conformalwavefunctionsforgravitonamplitudes AT davidalowe conformalwavefunctionsforgravitonamplitudes |