Differential equations for Carrollian amplitudes
A bstract 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.
Authors
- Romain Ruzziconi (ORCID: https://orcid.org/0000-0002-4359-7586)
- Bin Zhu (ORCID: https://orcid.org/0000-0002-5141-9683)
- Stephan Stieberger
- Tomasz R. Taylor (ORCID: https://orcid.org/0000-0003-3739-8596)
Institutions
- University of Oxford (GB)
- Max Planck Institute for Physics (DE)
- University of Warsaw (PL)
- Universidad del Noreste (MX)
- University of Edinburgh (GB)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2024-09-20
- DOI
- https://doi.org/10.1007/jhep09(2024)149
- Citations
- 18
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 11.87
Funders
- National Science Foundation
- Narodowa Agencja Wymiany Akademickiej
- Balliol College, University of Oxford