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arXiv · 2307.00870

Notes on weight-shifting operators and unifying relations for cosmological correlators

Qi Chen·Yi-Xiao Tao
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Abstract

We seek the inverse formulas for the cosmological unifying relation between gluons and conformally coupled scalars. We demonstrate that the weight-shifting operators derived from the conformal symmetry at the dS late-time boundary can serve as the inverse operators for the 3-point cosmological correlators. However, in the case of the 4-point cosmological correlator, we observe that the inverse of the unifying relation cannot be constructed from the weight-shifting operators. Despite this failure, we are inspired to propose a "weight-shifting uplifting" method for the 4-point gluon correlator.

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Qi Chen, Yi-Xiao Tao. 2023-07-03. Notes on weight-shifting operators and unifying relations for cosmological correlators. https://doi.org/10.1103/physrevd.108.105005

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