A Holographic Construction of MHV Graviton Amplitudes in Celestial CFT
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916365299875840 |
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| author | Mol, Igor |
| author_facet | Mol, Igor |
| contents | In this note, we show that tree-level MHV $n$-graviton amplitudes, when analytically continued to Klein space, can be holographically generated as the correlators of a two-dimensional conformal field theory ($2d$ CFT) in the large-$N$ semiclassical $b\rightarrow0$ limit. This $2d$ CFT is composed of a Liouville field theory, coupled to a level-one $SO\left(N\right)$ Kac-Moody current, and a doublet of free fermions residing on $\mathbf{CP}^{1}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_10944 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Holographic Construction of MHV Graviton Amplitudes in Celestial CFT Mol, Igor High Energy Physics - Theory In this note, we show that tree-level MHV $n$-graviton amplitudes, when analytically continued to Klein space, can be holographically generated as the correlators of a two-dimensional conformal field theory ($2d$ CFT) in the large-$N$ semiclassical $b\rightarrow0$ limit. This $2d$ CFT is composed of a Liouville field theory, coupled to a level-one $SO\left(N\right)$ Kac-Moody current, and a doublet of free fermions residing on $\mathbf{CP}^{1}$. |
| title | A Holographic Construction of MHV Graviton Amplitudes in Celestial CFT |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.10944 |