Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-07
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, no figures. Some references added, typos corrected, minor changes in content
Scientific paper
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.
Hosseiny Ali
Rouhani Shahin
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