Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908456620916736 |
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| author | Bruce, Andrew James |
| author_facet | Bruce, Andrew James |
| contents | Carrollian field theories are usually understood as limits of relativistic theories. In this note, we use Carrollian $\mathbb{R}^\times$-bundles equipped with a principal connection to construct Carrollian sigma models intrinsically. The resulting theories are neither ``electric'' nor ``magnetic'' in the usual sense. As a physically suggestive example, we derive a Carrollian wave equation governing the dynamics of a scalar field on the event horizon of a Schwarzschild black hole. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00544 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons Bruce, Andrew James General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 53Z05, 70S99, 83Cxx Carrollian field theories are usually understood as limits of relativistic theories. In this note, we use Carrollian $\mathbb{R}^\times$-bundles equipped with a principal connection to construct Carrollian sigma models intrinsically. The resulting theories are neither ``electric'' nor ``magnetic'' in the usual sense. As a physically suggestive example, we derive a Carrollian wave equation governing the dynamics of a scalar field on the event horizon of a Schwarzschild black hole. |
| title | Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 53Z05, 70S99, 83Cxx |
| url | https://arxiv.org/abs/2507.00544 |