Scholarlink

<p>From any graph <i>G</i> arises a flat space wavefunction, obtained by integrating a product of propagatorsassociated to the vertices and edges of <i>G</i>. This function is a key ingredient in the computation of cosmological correlators, and several representations for it have been proposed. We formulate three such representations and prove their correctness. In particular, we show that the flat space wavefunction can be read off from the canonical form of the cosmological polytope, and we settle a conjecture of Fevola, Pimentel, Sattelberger, and Westerdijk regarding a partial fraction decomposition for the flat space wavefunction. The terms of the decomposition correspond to certain collections of connected subgraphs associated to <i>G</i> and its spanning subgraphs, reflecting the fact that the flat space wavefunction contains information about how <i>G</i> is connected.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Representations of the flat space wavefunction

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年7月29日

查看全文
  • Tyler Dunaisky

摘要

From any graph G arises a flat space wavefunction, obtained by integrating a product of propagatorsassociated to the vertices and edges of G. This function is a key ingredient in the computation of cosmological correlators, and several representations for it have been proposed. We formulate three such representations and prove their correctness. In particular, we show that the flat space wavefunction can be read off from the canonical form of the cosmological polytope, and we settle a conjecture of Fevola, Pimentel, Sattelberger, and Westerdijk regarding a partial fraction decomposition for the flat space wavefunction. The terms of the decomposition correspond to certain collections of connected subgraphs associated to G and its spanning subgraphs, reflecting the fact that the flat space wavefunction contains information about how G is connected.