Integral Transformations for Conformally Invariant Celestial Amplitudes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917504357498880 |
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| author | Yuenyong, Aphiwat Srisangyingcharoen, Pongwit Hirunsirisawat, Ekapong Deesuwan, Tanapat |
| author_facet | Yuenyong, Aphiwat Srisangyingcharoen, Pongwit Hirunsirisawat, Ekapong Deesuwan, Tanapat |
| contents | We propose an integral transformation for celestial gluon amplitudes that maps the celestial coordinates \((z_i,\bar z_i)\) to a new set of complex variables \((s_i,\bar s_i)\), inspired by the structure of closed string scattering amplitudes. A consistent inverse transformation is constructed by regulating a divergence associated with translational redundancy and absorbing it into an overall normalization. Applying this transformation to celestial MHV amplitudes, we derive constraints on \((s_i,\bar s_i)\) for three-, four-, and general \(n\)-point amplitudes, and show that these conditions are necessary for invariance under global conformal transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14422 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integral Transformations for Conformally Invariant Celestial Amplitudes Yuenyong, Aphiwat Srisangyingcharoen, Pongwit Hirunsirisawat, Ekapong Deesuwan, Tanapat High Energy Physics - Theory We propose an integral transformation for celestial gluon amplitudes that maps the celestial coordinates \((z_i,\bar z_i)\) to a new set of complex variables \((s_i,\bar s_i)\), inspired by the structure of closed string scattering amplitudes. A consistent inverse transformation is constructed by regulating a divergence associated with translational redundancy and absorbing it into an overall normalization. Applying this transformation to celestial MHV amplitudes, we derive constraints on \((s_i,\bar s_i)\) for three-, four-, and general \(n\)-point amplitudes, and show that these conditions are necessary for invariance under global conformal transformations. |
| title | Integral Transformations for Conformally Invariant Celestial Amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.14422 |