3D Stress Tensor for Gravity in 4D Flat Spacetime
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909284380442624 |
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| author | Bagchi, Arjun Dhivakar, Prateksh Dutta, Sudipta |
| author_facet | Bagchi, Arjun Dhivakar, Prateksh Dutta, Sudipta |
| contents | Three dimensional (3d) Carrollian CFTs are potential co-dimension one holographic duals of 4d asymptotically flat spacetimes that live on the whole of the null boundary. In this paper, we show that the local stress tensor of the 3d Carrollian conformal theory (without any additional sources) constructed in terms of the geometric structure at asymptotic null infinity naturally encodes both the leading and subleading soft graviton theorems. We relate the 3d Carroll stress tensor to the 2d Celestial one and show how the 3d version naturally localises the non-local 2d Celestial stress tensor. We also comment on the relation with stress tensors in relativistic 3d CFTs and connections to the flat limit of AdS/CFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05494 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 3D Stress Tensor for Gravity in 4D Flat Spacetime Bagchi, Arjun Dhivakar, Prateksh Dutta, Sudipta High Energy Physics - Theory Three dimensional (3d) Carrollian CFTs are potential co-dimension one holographic duals of 4d asymptotically flat spacetimes that live on the whole of the null boundary. In this paper, we show that the local stress tensor of the 3d Carrollian conformal theory (without any additional sources) constructed in terms of the geometric structure at asymptotic null infinity naturally encodes both the leading and subleading soft graviton theorems. We relate the 3d Carroll stress tensor to the 2d Celestial one and show how the 3d version naturally localises the non-local 2d Celestial stress tensor. We also comment on the relation with stress tensors in relativistic 3d CFTs and connections to the flat limit of AdS/CFT. |
| title | 3D Stress Tensor for Gravity in 4D Flat Spacetime |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.05494 |