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WS22/23 – Abstract
Sabrina Pasterski
(Perimeter Institute Waterloo, Ontario, Canada)
3.11.2022
The Celestial Hologram (PRETALK for students at 15:30 h)
Celestial Holography proposes a duality between gravitational scattering in spacetimes with vanishing cosmological constant and a conformal field theory living on the celestial sphere. It maps four-dimensional scattering matrix elements to objects that transform as two-dimensional conformal correlators, termed Celestial Amplitudes. This map possesses a number of surprising features. It emphasizes infinite-dimensional symmetry enhancements, which are typically hidden in infrared factorization theorems for amplitudes; reorganizes collinear limits as conformal field theory operator product expansions, and mixes ultraviolet and infrared behavior in a manner that will allow us to make general claims about scattering not obvious from perturbation theory. At its foundation are three hallmarks of the infrared: asymptotic symmetries that transform our phase space, factorizations that occur when scatterers become soft, and memory effects that provide an experimental testing ground. We will start by reviewing the manner in which these ideas are interconnected, show how this footing leads us to Celestial Holography, and then cover recent progress in constructing this holographic dictionary.