Operator product expansion in Carrollian CFT

• Published in: The journal of high energy physics Vol. 2025; no. 7; pp. 193 - 44
• Main Authors: Nguyen, Kevin, Salzer, Jakob
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2025; Springer Nature B.V; SpringerOpen
• Subjects: Amplitudes; Classical and Quantum Gravitation; Elementary Particles; Field theory; Gauge-Gravity Correspondence; Gravity; Kinematics; Operators (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scale and Conformal Symmetries; Scattering Amplitudes; Space-Time Symmetries; String Theory; Tensors; Gauge-Gravity Correspondence; Space-Time Symmetries; Scale and Conformal Symmetries; Scattering Amplitudes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP07(2025)193

A bstract Carrollian conformal field theory offers an alternative description of massless scattering amplitudes, that is holographic in nature. In an effort to build a framework that is both predictive and constraining, we construct operator product expansions (OPE) that are compatible with carrollian symmetries. In this way, we unify and extend preliminary works on the subject, and demonstrate that the carrollian OPEs indeed control the short-distance expansion of carrollian correlators and amplitudes. In the process, we extend the representation theory of carrollian conformal fields such as to account for composite operators like the carrollian stress tensor or those creating multiparticle states. In addition we classify 2- and 3-point carrollian correlators and amplitudes with complex kinematics, and give the general form of the 4-point function allowed by symmetry.