Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions

Understand

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.