Abstract

Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincaré transformation law of the Carrollian amplitude in this definition has been discussed. We also find an isomorphism between the local rotation of the vielbein field and the superduality transformation.

Details

Title
On the definition of Carrollian amplitudes in general dimensions
Author
Liu, Wen-Bin 1   VIAFID ORCID Logo  ; Long, Jiang 1   VIAFID ORCID Logo  ; Xiao, Hong-Yang 1   VIAFID ORCID Logo  ; Yang, Jing-Long 1   VIAFID ORCID Logo 

1  School of Physics, Huazhong University of Science and Technology, Wuhan, China (GRID:grid.33199.31) (ISNI:0000 0004 0368 7223) 
Pages
27
Publication year
2024
Publication date
Nov 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP11(2024)027
ProQuest document ID
3140861877
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.