Celestial amplitudes in an ambidextrous basis

• Published in: The journal of high energy physics Vol. 2023; no. 2; pp. 155 - 54
• Main Authors: Jorge-Diaz, Carmen, Pasterski, Sabrina, Sharma, Atul
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 15.02.2023; Springer Nature B.V; SpringerOpen
• Subjects: Amplitudes; Classical and Quantum Gravitation; Decomposition; Dictionaries; Eigenvectors; Elementary Particles; Gauge-Gravity Correspondence; Gluons; High energy physics; Kinematics; Light; Lorentz transformations; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scattering Amplitudes; String Theory; Gauge-Gravity Correspondence; Scattering Amplitudes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP02(2023)155

A bstract We start by constructing a conformally covariant improvement of the celestial light transform which keeps track of the mixing between incoming and outgoing states under finite Lorentz transformations in ℝ 2 , 2 . We then compute generic 2, 3 and 4-point celestial amplitudes for massless external states in the ambidextrous basis prepared by composing this SL(2 , ℝ) intertwiner with the usual celestial map between momentum and boost eigenstates. The results are non-distributional in the celestial coordinates ( z, z ¯ ) and conformally covariant in all scattering channels. Finally, we focus on the tree level 4-gluon amplitude where we present a streamlined route to the ambidextrous correlator based on Grassmannian formulae and examine its alpha space representation. In the process, we gain insights into the operator dictionary and CFT data of the holographic dual.