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Celestial geometry
DOI:10.1007/JHEP09(2022)045.png)
Abstract
En 中文
Celestial holography expresses S-matrix elements as correlators in a CFT living on the night sky. Poincare invariance imposes additional selection rules on the allowed positions of operators. As a consequence, n-point correlators are only supported on certain patches of the celestial sphere, depending on the labeling of each operator as incoming/outgoing. Here we initiate a study of the celestial geometry, examining the kinematic support of celestial amplitudes for different crossing channels. We give simple geometric rules for determining this support. For n >= 5, we can view these channels as tiling together to form a covering of the celestial sphere. Our analysis serves as a stepping off point to better understand the analyticity of celestial correlators and illuminate the connection between the 4D kinematic and 2D CFT notions of crossing symmetry.
Keywords:
AdS-CFT Correspondence
Models of Quantum Gravity
Scattering Amplitudes
Space-Time Symmetries
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W

