Cluster algebras for cosmological correlators

2025/12/16 by Mazloumi, Pouria, Xu, Xiaofeng · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · doi:10.48550/arxiv.2512.14854

openalex publication_date 2025/12/16 · openalex created_date 2025/12/19 · openalex updated_date 2026/07/28

Abstract

In this paper, we explore the cluster algebras for symbol letters or singularities of cosmological correlators in a conformally coupled scalar field theory. We show that the symbol letters for tree-level n-site ladder cosmological correlators are governed by A_2(n-1) cluster algebras. Additionally, we demonstrate that the symbol letters for one-loop bubble cosmological correlator are an union of two A₃ cluster algebras. The algebras relations of letters will provide an important tool to bootstrap analytic cosmological correlators.

Citations

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Cited by

• Cosmology meets cluster algebra

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• Correlator Polytopes
• A Reduction Algorithm for Cosmological Correlators: Cuts, Contractions, and Complexity
• Cluster algebras: an introduction
• Spectral Representation of Cosmological Correlators