Celestial CFT from $H_3^+$-WZW Model
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913323082055680 |
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| author | Ogawa, Naoki Takahashi, Shunta Tsuda, Takashi Waki, Takahiro |
| author_facet | Ogawa, Naoki Takahashi, Shunta Tsuda, Takashi Waki, Takahiro |
| contents | Recently, there has been a growing interest in celestial holography, which is holography in asymptotically flat spacetimes. This holographic duality exhibits numerous mysterious and fruitful features, particularly on the dual CFT side. In this paper, we present the candidate of dual CFT for Minkowski spacetime extracted from $SL(2,\mathbb{C})/SU(2)\cong H^+_3$ Wess-Zumino-Witten (WZW) model, the simplest non-compact CFT. We demonstrate that it reproduces the well-known principal series and correlation functions dual to the bulk scattering amplitudes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12049 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Celestial CFT from $H_3^+$-WZW Model Ogawa, Naoki Takahashi, Shunta Tsuda, Takashi Waki, Takahiro High Energy Physics - Theory General Relativity and Quantum Cosmology Recently, there has been a growing interest in celestial holography, which is holography in asymptotically flat spacetimes. This holographic duality exhibits numerous mysterious and fruitful features, particularly on the dual CFT side. In this paper, we present the candidate of dual CFT for Minkowski spacetime extracted from $SL(2,\mathbb{C})/SU(2)\cong H^+_3$ Wess-Zumino-Witten (WZW) model, the simplest non-compact CFT. We demonstrate that it reproduces the well-known principal series and correlation functions dual to the bulk scattering amplitudes. |
| title | Celestial CFT from $H_3^+$-WZW Model |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.12049 |