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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20459 |
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| _version_ | 1866929651506479104 |
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| author | Basile, Thomas Dhasmana, Shailesh Skvortsov, Evgeny |
| author_facet | Basile, Thomas Dhasmana, Shailesh Skvortsov, Evgeny |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scalar Field on a higher-spin Background via Fedosov quantization Basile, Thomas Dhasmana, Shailesh Skvortsov, Evgeny High Energy Physics - Theory 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. |
| title | Scalar Field on a higher-spin Background via Fedosov quantization |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.20459 |