AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918156939821056 |
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| author | Fernandes, Bruno Goncalves, Vasco Huang, Zhongjie Tang, Yichao Boas, Joao Vilas Yuan, Ellis Ye |
| author_facet | Fernandes, Bruno Goncalves, Vasco Huang, Zhongjie Tang, Yichao Boas, Joao Vilas Yuan, Ellis Ye |
| contents | We propose an AdS$\times$S factorization formula at the level of the generating function for correlators with arbitrary Kaluza-Klein configurations, and implement it in the supergravity limit of $\mathcal{N}=4$ super Yang-Mills. By incorporating this mechanism into Mellin space bootstrap, together with an observed $Z_2$ symmetry under AdS$\ \leftrightarrow\ $S, we manage to simultaneously work out unified formulas both for all five-point half-BPS correlators and for all four-point correlators with one superdescendant. This AdS\times$S bootstrap method is directly applicable to generic multi-point computation at tree level. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_14124 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM Fernandes, Bruno Goncalves, Vasco Huang, Zhongjie Tang, Yichao Boas, Joao Vilas Yuan, Ellis Ye High Energy Physics - Theory We propose an AdS$\times$S factorization formula at the level of the generating function for correlators with arbitrary Kaluza-Klein configurations, and implement it in the supergravity limit of $\mathcal{N}=4$ super Yang-Mills. By incorporating this mechanism into Mellin space bootstrap, together with an observed $Z_2$ symmetry under AdS$\ \leftrightarrow\ $S, we manage to simultaneously work out unified formulas both for all five-point half-BPS correlators and for all four-point correlators with one superdescendant. This AdS\times$S bootstrap method is directly applicable to generic multi-point computation at tree level. |
| title | AdS$\times$S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in $\mathcal{N}=4$ SYM |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.14124 |