Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions
Abstract
We show that a class of nonrelativistic algebras including non centrally-extended Schrodinger algebra and Galilean Conformal Algebra (GCA) has an affine extension in 2+1 hitherto unknown. This extension arises out of the conformal symmetries of the two dimensional complex plain. We suggest that this affine form may be the symmetry that explains the relaxation of some classical phenomena towards their critical point. This affine algebra admits a central extension and maybe realized in the bulk. The bulk realization suggests that this algebra may be derived by looking at the asymptotic symmetry of an AdS theory. This suggests that AdS/CFT duality may take on a special form in four dimensions.
Keywords
Cite
@article{arxiv.0909.1203,
title = {Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions},
author = {Ali Hosseiny and Shahin Rouhani},
journal= {arXiv preprint arXiv:0909.1203},
year = {2014}
}
Comments
13 pages, no figures. Some references added, typos corrected, minor changes in content