Abelian Chern-Simons term as a Kaluza-Klein dimensional reduction of the Gibbons-Hawking surface term
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| Format: | Preprint |
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2024
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| _version_ | 1866929290974593024 |
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| author | Kim, Hongsu Oh, Jae Sok |
| author_facet | Kim, Hongsu Oh, Jae Sok |
| contents | It is suggested that the original, minimal Kaluza-Klein theory should be extended by adding a 5-dimensional version of the Gibbons-Hawking gravitational surface term. It is then demonstrated that the usual dimensional reduction of the newly added surface (boundary) term leads to the emergence of the famous Abelian Chern-Simons term. It is stressed that the advent of this Chern-Simons term is not merely a parametrization artefact but a real thing. Finally, the issue of finite-ranged electromagnetic interaction due to massive photons on a plane has been interpreted in terms of the violation of the local gauge invariance of this extended version of Kaluza-Klein theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_17977 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Abelian Chern-Simons term as a Kaluza-Klein dimensional reduction of the Gibbons-Hawking surface term Kim, Hongsu Oh, Jae Sok High Energy Physics - Theory General Relativity and Quantum Cosmology It is suggested that the original, minimal Kaluza-Klein theory should be extended by adding a 5-dimensional version of the Gibbons-Hawking gravitational surface term. It is then demonstrated that the usual dimensional reduction of the newly added surface (boundary) term leads to the emergence of the famous Abelian Chern-Simons term. It is stressed that the advent of this Chern-Simons term is not merely a parametrization artefact but a real thing. Finally, the issue of finite-ranged electromagnetic interaction due to massive photons on a plane has been interpreted in terms of the violation of the local gauge invariance of this extended version of Kaluza-Klein theory. |
| title | Abelian Chern-Simons term as a Kaluza-Klein dimensional reduction of the Gibbons-Hawking surface term |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.17977 |