Work

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

Year: 2023

Type: article

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 de Sitter (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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.108.105005

Authors: Qi Chen, Yi-Xiao Tao

Institution: Tsinghua University

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Key Research and Development Program of China

Award: G7940611361