Title : ( Classification of conformal carroll algebras )
Authors: Hamid Reza Afshar , Xavier Bekaert , Mojtaba Najafizadeh ,
Full TextAbstract
We classify a one-parameter family, confcarrـz (d + 1), of conformal extensions of the Carroll algebra in arbitrary dimension with z being the anisotropic scaling exponent. We further obtain their infinite-dimensional extensions, \\\\widetilde{confcarrz} (d + 1), and discuss their corresponding finite-dimensional truncated subalgebras when the scaling exponent is integer or half-integer. For all these conformal extensions, we also constrain the 2-point and 3-point correlation functions with electric and/or magnetic features.
Keywords
, Scale and Conformal Symmetries, Space-Time Symmetries, AdS-CFT Correspondence, Integrable Field Theories
@article{paperid:1101323,
author = {Afshar, Hamid Reza and اگزاویر بکارت and Najafizadeh, Mojtaba},
title = {Classification of conformal carroll algebras},
journal = {Journal of High Energy Physics},
year = {2024},
volume = {2024},
number = {12},
month = {December},
issn = {1029-8479},
keywords = {Scale and Conformal Symmetries; Space-Time Symmetries; AdS-CFT
Correspondence; Integrable Field Theories},
}
%0 Journal Article
%T Classification of conformal carroll algebras
%A Afshar, Hamid Reza
%A اگزاویر بکارت
%A Najafizadeh, Mojtaba
%J Journal of High Energy Physics
%@ 1029-8479
%D 2024
