Cosmological correlators encode invaluable information about the wave function of the primordial Universe. In this Letter we present a duality between correlators and wave function coefficients that is valid to all orders in the loop expansion and manifests itself as a Z4 symmetry. To demonstrate the power of the duality, we derive a correlator-to-correlator factorization formula for the parity-odd part of cosmological correlators that relates n-point observables to lower-point ones via a series of diagrammatic cuts. These relations serve as the first example of physically testable cutting rules as they involve observables defined for arbitrary physical kinematics. We further show how the duality allows us to translate the cosmological optical theorem for wave function coefficients into statements about cosmological correlators. Published by the American Physical Society 2024

中文翻译：

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There and Back Again：映射和分解宇宙学 Observables


宇宙学相关器编码有关原始宇宙波函数的宝贵信息。在这封信中，我们提出了相关器和波函数系数之间的对偶性，该对环扩展中的所有阶数都有效，并表现为 Z4 对称性。为了证明对偶性的力量，我们为宇宙学相关器的奇偶校验部分推导出了一个相关器到相关器的因式分解公式，该公式通过一系列图解切割将 n 点可观测物与低点可观测物联系起来。这些关系是物理可测试切割规则的第一个示例，因为它们涉及为任意物理运动学定义的 observables。我们进一步展示了对偶性如何使我们能够将波函数系数的宇宙学光学定理转化为关于宇宙学相关器的陈述。 美国物理学会 2024 年出版