Differential Equations for Carrollian Amplitudes
High Energy Physics - Theory
2024-07-09 v1
Abstract
Differential equations are powerful tools in the study of correlation functions in conformal field theories (CFTs). Carrollian amplitudes behave as correlation functions of Carrollian CFT that holographically describes asymptotically flat spacetime. We derive linear differential equations satisfied by Carrollian MHV gluon and graviton amplitudes. We obtain non-distributional solutions for both the gluon and graviton cases. We perform various consistency checks for these differential equations, including compatibility with conformal Carrollian symmetries.
Cite
@article{arxiv.2407.04789,
title = {Differential Equations for Carrollian Amplitudes},
author = {Romain Ruzziconi and Stephan Stieberger and Tomasz R. Taylor and Bin Zhu},
journal= {arXiv preprint arXiv:2407.04789},
year = {2024}
}
Comments
29 pages