Celestial geometry
Abstract
Celestial holography expresses $$ \mathcal{S} $$ S -matrix elements as correlators in a CFT living on the night sky. PoincarĂ© 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 06, 2022
- Source ID
- 10.1007/jhep09(2022)045
Entities
People
- Sabrina Pasterski
- Sebastian Mizera