de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs
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arXiv
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| Hauptverfasser: | , , , , , , |
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| Format: | Preprint |
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2026
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| author | Ferro, Livia Lukowski, Tomasz Ren, Lecheng Spradlin, Marcus Volovich, Anastasia Weng, He-Chen Zhang, Yao-Qi |
| author_facet | Ferro, Livia Lukowski, Tomasz Ren, Lecheng Spradlin, Marcus Volovich, Anastasia Weng, He-Chen Zhang, Yao-Qi |
| contents | We present an explicit formula for the $n$-site chain graph contribution to the cosmological wavefunction for conformally coupled $ϕ^3$ theory in de Sitter space. Our result relies on the recent finding that the symbol of this function satisfies total compatibility with respect to the $A_{2n-2}$ cluster algebra, and that Rudenko's quadrangular polylogarithms provide, by construction, a complete basis for such functions. We prove our formula by directly relating a recursive set of differential equations satisfied by these wavefunction coefficients to a recursive coproduct formula for quadrangular polylogarithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06542 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs Ferro, Livia Lukowski, Tomasz Ren, Lecheng Spradlin, Marcus Volovich, Anastasia Weng, He-Chen Zhang, Yao-Qi High Energy Physics - Theory We present an explicit formula for the $n$-site chain graph contribution to the cosmological wavefunction for conformally coupled $ϕ^3$ theory in de Sitter space. Our result relies on the recent finding that the symbol of this function satisfies total compatibility with respect to the $A_{2n-2}$ cluster algebra, and that Rudenko's quadrangular polylogarithms provide, by construction, a complete basis for such functions. We prove our formula by directly relating a recursive set of differential equations satisfied by these wavefunction coefficients to a recursive coproduct formula for quadrangular polylogarithms. |
| title | de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.06542 |