Abstract
Motivated by flat space holography, we demonstrate that massive spin-s fields in Minkowski space near timelike infinity are massive carrollian fields on the carrollian counterpart of anti-de Sitter space called Ti. Its isometries form the Poincaré group, and we construct the carrollian spin-s fields using the method of induced representations. We provide a dictionary between massive carrollian fields on Ti and massive fields in Minkowski space, as well as to fields in the conformal primary basis used in celestial holography. We show that the symmetries of the carrollian structure naturally account for the BMS charges underlying the soft graviton theorem. Finally, we initiate a discussion of the correspondence between massive scattering amplitudes and carrollian correlation functions on Ti, and introduce physical definitions of detector operators using a suitable notion of conserved carrollian energy-momentum tensor.
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Acknowledgments
We are grateful to Tim Adamo for valuable discussions. We thank José Figueroa-O’Farrill for collaboration at early stages of the project, and we are grateful to him for useful discussions. KN thanks Peter West for collaboration on closely related topics. The work of EH is supported by Villum Foundation Experiment project 00050317, “Exploring the wonderland of Carrollian physics”. The work of KN and JS is supported by postdoctoral research fellowships of the F.R.S.-FNRS (Belgium). Part of this project was revised and presented during the Programme “Carrollian Physics and Holography” at the Erwin-Schrödinger International Institute for Mathematics and Physics in April 2024.
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Have, E., Nguyen, K., Prohazka, S. et al. Massive carrollian fields at timelike infinity. J. High Energ. Phys. 2024, 54 (2024). https://doi.org/10.1007/JHEP07(2024)054
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DOI: https://doi.org/10.1007/JHEP07(2024)054