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Cluster algebras for cosmological correlators

Pouria Mazloumi, Xiaofeng Xu

Journal of High Energy Physics
License: CC BY 4.0

Abstract: A bstract 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 A 3 cluster algebras. The algebras relations of letters will provide an important tool to bootstrap analytic cosmological correlators.

Published on 27 Mar. 2026