Closed-string amplitude recursions from the Deligne associator
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912167398211584 |
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| author | Baune, Konstantin Broedel, Johannes Zerbini, Federico |
| author_facet | Baune, Konstantin Broedel, Johannes Zerbini, Federico |
| contents | Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via single-valued periods, we identify a recursive relation for closed-string tree-level amplitudes. We achieve this by showing that closed-string analogues of Selberg integrals satisfy the Knizhnik-Zamolodchikov equation for a suitable matrix representation of the free Lie algebra on two generators, and by identifying the limits at z=1 and z=0, which are related by the Deligne associator, with N-point and (N-1)-point closed-string amplitudes, respectively. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_17579 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Closed-string amplitude recursions from the Deligne associator Baune, Konstantin Broedel, Johannes Zerbini, Federico High Energy Physics - Theory Mathematical Physics Number Theory Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via single-valued periods, we identify a recursive relation for closed-string tree-level amplitudes. We achieve this by showing that closed-string analogues of Selberg integrals satisfy the Knizhnik-Zamolodchikov equation for a suitable matrix representation of the free Lie algebra on two generators, and by identifying the limits at z=1 and z=0, which are related by the Deligne associator, with N-point and (N-1)-point closed-string amplitudes, respectively. |
| title | Closed-string amplitude recursions from the Deligne associator |
| topic | High Energy Physics - Theory Mathematical Physics Number Theory |
| url | https://arxiv.org/abs/2412.17579 |