Cluster algebras for cosmological correlators
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 A2(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.
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