Stringy KLT Relations on $AdS$
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915714640642048 |
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| author | Alday, Luis F. Nocchi, Maria Sangaré, Aurélie Strömholm |
| author_facet | Alday, Luis F. Nocchi, Maria Sangaré, Aurélie Strömholm |
| contents | We study the building blocks of open and closed string amplitudes on $AdS$. These are given by two infinite towers of world-sheet integrals generalising the Euler and complex beta functions respectively. We show that the open and closed building blocks are related by an $AdS$ version of the KLT relations, whose Kernel can be computed exactly. We furthermore show that the building blocks for open string amplitudes are given by Aomoto-Gelfand hypergeometric functions, and give their closed form expression up to weight four. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19973 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stringy KLT Relations on $AdS$ Alday, Luis F. Nocchi, Maria Sangaré, Aurélie Strömholm High Energy Physics - Theory We study the building blocks of open and closed string amplitudes on $AdS$. These are given by two infinite towers of world-sheet integrals generalising the Euler and complex beta functions respectively. We show that the open and closed building blocks are related by an $AdS$ version of the KLT relations, whose Kernel can be computed exactly. We furthermore show that the building blocks for open string amplitudes are given by Aomoto-Gelfand hypergeometric functions, and give their closed form expression up to weight four. |
| title | Stringy KLT Relations on $AdS$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.19973 |