The Fate of Celestial Symmetries
Organizers
Speaker
Yangrui Hu
Time
Tuesday, November 7, 2023 10:00 AM - 12:00 PM
Venue
A3-2-301
Online
Zoom 518 868 7656
(BIMSA)
Abstract
In this talk, we start by introducing celestial symmetries and using these symmetries to organize the data in phase space. Specifically, a systematic cataloging of the generators of celestial symmetries on phase space is presented, which contains a semi-infinite tower of higher-spin light-ray operators. Moreover, in the phase space representation, the emergence of two-particle and multi-particle operators is a natural consequence, essential for the algebra to close. To study the multi-particle states in celestial CFT, in the second part of this talk, we discuss the holomorphic multi-collinear limit of amplitudes and derive celestial 3-OPEs. In particular, in $\phi^3$ theory, celestial 3-OPE contains a term with a branch cut. This term addresses an ongoing debate in the literature about Jacobi identity and associativity of the celestial OPEs. We further use this result to deduce a new (multi-particle) term in celestial two-particle OPE.