Cluster Bootstrap for Cosmological Correlators
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914380213387264 |
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| author | Paranjape, Shruti Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia Weng, He-Chen |
| author_facet | Paranjape, Shruti Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia Weng, He-Chen |
| contents | We show that cosmological wavefunction coefficients associated with $n$-site chain and loop graphs for a cubic scalar theory in de Sitter spacetime have symbol alphabets given by subsets of $A_{2n{-}2}$ and $B_{2n{-}1}$ cluster variables, respectively, and satisfy the associated cluster adjacency properties. The key step in proving this is identifying a precise connection between graph "tubings" that appear in the kinematic flow equation and polygon "triangulations" that encode the combinatorics of cluster compatibility. Our results imply that cosmological wavefunction coefficients in a general power-law FRW cosmology satisfy cluster adjacency to all orders in the $ε$ expansion. We use this information as bootstrap input to show that de Sitter symbols for $n \leq 4$ are uniquely determined by simple physical constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08670 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cluster Bootstrap for Cosmological Correlators Paranjape, Shruti Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia Weng, He-Chen High Energy Physics - Theory We show that cosmological wavefunction coefficients associated with $n$-site chain and loop graphs for a cubic scalar theory in de Sitter spacetime have symbol alphabets given by subsets of $A_{2n{-}2}$ and $B_{2n{-}1}$ cluster variables, respectively, and satisfy the associated cluster adjacency properties. The key step in proving this is identifying a precise connection between graph "tubings" that appear in the kinematic flow equation and polygon "triangulations" that encode the combinatorics of cluster compatibility. Our results imply that cosmological wavefunction coefficients in a general power-law FRW cosmology satisfy cluster adjacency to all orders in the $ε$ expansion. We use this information as bootstrap input to show that de Sitter symbols for $n \leq 4$ are uniquely determined by simple physical constraints. |
| title | Cluster Bootstrap for Cosmological Correlators |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.08670 |