From Moyal deformations to chiral higher-spin theories and to celestial algebras
Abstract We study the connection of Moyal deformations of self-dual gravity and self-dual Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator algebras in celestial holography. The relation to Moyal deformations illuminates various aspects of the structure of chiral...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2023)062 |
| _version_ | 1797795938113159168 |
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| author | Ricardo Monteiro |
| author_facet | Ricardo Monteiro |
| author_sort | Ricardo Monteiro |
| collection | DOAJ |
| description | Abstract We study the connection of Moyal deformations of self-dual gravity and self-dual Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator algebras in celestial holography. The relation to Moyal deformations illuminates various aspects of the structure of chiral higher-spin theories. For instance, the appearance of the self-dual kinematic algebra in all the theories considered here leads via the double copy to vanishing tree-level scattering amplitudes. Regarding celestial holography, the Moyal deformation of self-dual gravity was recently shown to lead to the loop algebra of W ∧, and we obtain here the analogous deformation of a Kac-Moody algebra corresponding to Moyal-deformed self-dual Yang-Mills theory. We also introduce the celestial algebras for various chiral higher-spin theories. |
| first_indexed | 2024-03-13T03:25:34Z |
| format | Article |
| id | doaj.art-c55fddb239d04eea99cf30f4e7e94269 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:34Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c55fddb239d04eea99cf30f4e7e942692023-06-25T11:04:57ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312810.1007/JHEP03(2023)062From Moyal deformations to chiral higher-spin theories and to celestial algebrasRicardo Monteiro0Centre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract We study the connection of Moyal deformations of self-dual gravity and self-dual Yang-Mills theory to chiral higher-spin theories, and also to deformations of operator algebras in celestial holography. The relation to Moyal deformations illuminates various aspects of the structure of chiral higher-spin theories. For instance, the appearance of the self-dual kinematic algebra in all the theories considered here leads via the double copy to vanishing tree-level scattering amplitudes. Regarding celestial holography, the Moyal deformation of self-dual gravity was recently shown to lead to the loop algebra of W ∧, and we obtain here the analogous deformation of a Kac-Moody algebra corresponding to Moyal-deformed self-dual Yang-Mills theory. We also introduce the celestial algebras for various chiral higher-spin theories.https://doi.org/10.1007/JHEP03(2023)062Higher Spin GravityHigher Spin SymmetryScattering AmplitudesNon- Commutative Geometry |
| spellingShingle | Ricardo Monteiro From Moyal deformations to chiral higher-spin theories and to celestial algebras Journal of High Energy Physics Higher Spin Gravity Higher Spin Symmetry Scattering Amplitudes Non- Commutative Geometry |
| title | From Moyal deformations to chiral higher-spin theories and to celestial algebras |
| title_full | From Moyal deformations to chiral higher-spin theories and to celestial algebras |
| title_fullStr | From Moyal deformations to chiral higher-spin theories and to celestial algebras |
| title_full_unstemmed | From Moyal deformations to chiral higher-spin theories and to celestial algebras |
| title_short | From Moyal deformations to chiral higher-spin theories and to celestial algebras |
| title_sort | from moyal deformations to chiral higher spin theories and to celestial algebras |
| topic | Higher Spin Gravity Higher Spin Symmetry Scattering Amplitudes Non- Commutative Geometry |
| url | https://doi.org/10.1007/JHEP03(2023)062 |
| work_keys_str_mv | AT ricardomonteiro frommoyaldeformationstochiralhigherspintheoriesandtocelestialalgebras |