Scalar field on a higher-spin background via Fedosov quantization
Abstract Conformal higher-spin gravity is the log-divergent part of the effective action of the scalar field coupled to background fields via higher-spin currents, as was defined by Segal and Tseytlin, which can be worked out over the flat space background. We revisit the problem of the scalar field...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)149 |
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| author | Thomas Basile Shailesh Dhasmana Evgeny Skvortsov |
| author_facet | Thomas Basile Shailesh Dhasmana Evgeny Skvortsov |
| author_sort | Thomas Basile |
| collection | DOAJ |
| description | Abstract Conformal higher-spin gravity is the log-divergent part of the effective action of the scalar field coupled to background fields via higher-spin currents, as was defined by Segal and Tseytlin, which can be worked out over the flat space background. We revisit the problem of the scalar field in a higher-spin background and propose a manifestly covariant version thereof. The construction utilizes the Fedosov quantization of the cotangent bundle and the action is written with the help of the trace on a curved phase space that is provided by the Feigin-Felder-Shoikhet cocycle. The same construction allows one to formulate quantum mechanics on a curved space, the phase space being the cotangent bundle. |
| format | Article |
| id | doaj-art-afcb498fe8ef446f93b2d8b2c8a1a13f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-afcb498fe8ef446f93b2d8b2c8a1a13f2025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714210.1007/JHEP07(2025)149Scalar field on a higher-spin background via Fedosov quantizationThomas Basile0Shailesh Dhasmana1Evgeny Skvortsov2Service de Physique de l’Univers, Champs et Gravitation, Université de MonsService de Physique de l’Univers, Champs et Gravitation, Université de MonsService de Physique de l’Univers, Champs et Gravitation, Université de MonsAbstract Conformal higher-spin gravity is the log-divergent part of the effective action of the scalar field coupled to background fields via higher-spin currents, as was defined by Segal and Tseytlin, which can be worked out over the flat space background. We revisit the problem of the scalar field in a higher-spin background and propose a manifestly covariant version thereof. The construction utilizes the Fedosov quantization of the cotangent bundle and the action is written with the help of the trace on a curved phase space that is provided by the Feigin-Felder-Shoikhet cocycle. The same construction allows one to formulate quantum mechanics on a curved space, the phase space being the cotangent bundle.https://doi.org/10.1007/JHEP07(2025)149Higher Spin GravityScale and Conformal Symmetries |
| spellingShingle | Thomas Basile Shailesh Dhasmana Evgeny Skvortsov Scalar field on a higher-spin background via Fedosov quantization Journal of High Energy Physics Higher Spin Gravity Scale and Conformal Symmetries |
| title | Scalar field on a higher-spin background via Fedosov quantization |
| title_full | Scalar field on a higher-spin background via Fedosov quantization |
| title_fullStr | Scalar field on a higher-spin background via Fedosov quantization |
| title_full_unstemmed | Scalar field on a higher-spin background via Fedosov quantization |
| title_short | Scalar field on a higher-spin background via Fedosov quantization |
| title_sort | scalar field on a higher spin background via fedosov quantization |
| topic | Higher Spin Gravity Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP07(2025)149 |
| work_keys_str_mv | AT thomasbasile scalarfieldonahigherspinbackgroundviafedosovquantization AT shaileshdhasmana scalarfieldonahigherspinbackgroundviafedosovquantization AT evgenyskvortsov scalarfieldonahigherspinbackgroundviafedosovquantization |