Simplicity of Mellin amplitudes for AdS$_3 \times$S$^3$
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914101963259904 |
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| author | Aprile, F. Behan, C. Pitombo, R. S. Santagata, M. |
| author_facet | Aprile, F. Behan, C. Pitombo, R. S. Santagata, M. |
| contents | The spectrum of half-BPS single-particle operators of the D1-D5 system in the supergravity regime is dual to the spectrum of Kaluza-Klein modes of tensor and graviton multiplets in AdS$_3\times$S$^3$. We present simple formulae for all four-point tree-level correlators of scalar half-BPS primary operators in the spectrum, and in particular, we bootstrap the four-point correlator of the graviton multiplet for all KK levels. A key insight of our approach is the use of generalized Mellin space, and a decomposition of the correlators into distinct subsectors each one characterized by different on-shell constraints among the Mellin variables. The resulting Mellin amplitudes involve a small set of building blocks with manifest properties under a six-dimensional symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simplicity of Mellin amplitudes for AdS$_3 \times$S$^3$ Aprile, F. Behan, C. Pitombo, R. S. Santagata, M. High Energy Physics - Theory The spectrum of half-BPS single-particle operators of the D1-D5 system in the supergravity regime is dual to the spectrum of Kaluza-Klein modes of tensor and graviton multiplets in AdS$_3\times$S$^3$. We present simple formulae for all four-point tree-level correlators of scalar half-BPS primary operators in the spectrum, and in particular, we bootstrap the four-point correlator of the graviton multiplet for all KK levels. A key insight of our approach is the use of generalized Mellin space, and a decomposition of the correlators into distinct subsectors each one characterized by different on-shell constraints among the Mellin variables. The resulting Mellin amplitudes involve a small set of building blocks with manifest properties under a six-dimensional symmetry. |
| title | Simplicity of Mellin amplitudes for AdS$_3 \times$S$^3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.19770 |