Boundary conformal invariants and the conformal anomaly in five dimensions
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866916501889482752 |
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| author | Astaneh, Amin Faraji Solodukhin, Sergey N. |
| author_facet | Astaneh, Amin Faraji Solodukhin, Sergey N. |
| contents | In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms \cite{Solodukhin:2015eca}. In this paper we present a detailed analysis of the anomaly in five dimensions. We give the complete list of the boundary conformal invariants that exist in five dimensions. Additionally to 8 invariants known before we find a new conformal invariant that contains the derivatives of the extrinsic curvature along the boundary. Then, for a conformal scalar field satisfying either the Dirichlet or the conformal invariant Robin boundary conditions we use the available general results for the heat kernel coefficient $a_5$, compute the conformal anomaly and identify the corresponding values of all boundary conformal charges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_07661 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Boundary conformal invariants and the conformal anomaly in five dimensions Astaneh, Amin Faraji Solodukhin, Sergey N. High Energy Physics - Theory General Relativity and Quantum Cosmology Differential Geometry In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms \cite{Solodukhin:2015eca}. In this paper we present a detailed analysis of the anomaly in five dimensions. We give the complete list of the boundary conformal invariants that exist in five dimensions. Additionally to 8 invariants known before we find a new conformal invariant that contains the derivatives of the extrinsic curvature along the boundary. Then, for a conformal scalar field satisfying either the Dirichlet or the conformal invariant Robin boundary conditions we use the available general results for the heat kernel coefficient $a_5$, compute the conformal anomaly and identify the corresponding values of all boundary conformal charges. |
| title | Boundary conformal invariants and the conformal anomaly in five dimensions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2102.07661 |