<p>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 <i>n</i>-site ladder cosmological correlators are governed by <i>A</i><sub>2(<i>n</i>−1)</sub> cluster algebras. Additionally, we demonstrate that the symbol letters for one-loop bubble cosmological correlator are an union of two <i>A</i><sub>3</sub> cluster algebras. The algebras relations of letters will provide an important tool to bootstrap analytic cosmological correlators.</p>

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Cluster algebras for cosmological correlators

  • Pouria Mazloumi,
  • Xiaofeng Xu

摘要

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.