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Celestial geometry

delete2022-09-06
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OA
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S
Sebastian Mizera *
S
Sabrina Pasterski
DOI:10.1007/JHEP09(2022)045delete
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Abstract

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

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

I
institute for advanced study - usa
Scholars:
933
Papers: 1.4K
Citations: 15
P
Princeton University
Scholars:
2.1W
Papers: 2.3W
Citations: 5.1W