A Celestial Dual for MHV Amplitudes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916181985722368 |
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| author | Melton, Walker Sharma, Atul Strominger, Andrew Wang, Tianli |
| author_facet | Melton, Walker Sharma, Atul Strominger, Andrew Wang, Tianli |
| contents | It is shown that a 2D CFT consisting of a central charge $c$ Liouville theory, a chiral level one, rank $N$ Kac-Moody algebra and a weight $-3/2$ free fermion holographically generate 4D MHV tree-level scattering amplitudes. The correlators of this 2D CFT give directly the 4D leaf amplitudes associated to a single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a large-$N$ and semiclassical large-$c$ limit, according to the holographic dictionary, as a translationally-invariant combination of leaf amplitudes. A step in the demonstration is showing that the semiclassical limit of Liouville correlators are given by contact AdS$_3$ Witten diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18896 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Celestial Dual for MHV Amplitudes Melton, Walker Sharma, Atul Strominger, Andrew Wang, Tianli High Energy Physics - Theory It is shown that a 2D CFT consisting of a central charge $c$ Liouville theory, a chiral level one, rank $N$ Kac-Moody algebra and a weight $-3/2$ free fermion holographically generate 4D MHV tree-level scattering amplitudes. The correlators of this 2D CFT give directly the 4D leaf amplitudes associated to a single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a large-$N$ and semiclassical large-$c$ limit, according to the holographic dictionary, as a translationally-invariant combination of leaf amplitudes. A step in the demonstration is showing that the semiclassical limit of Liouville correlators are given by contact AdS$_3$ Witten diagrams. |
| title | A Celestial Dual for MHV Amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.18896 |