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On Representations and Correlation Functions of Galilean Conformal Algebras

arXiv:0903.4524 · doi:10.1016/j.physletb.2009.04.030

Abstract

Galilean Conformal Algebras (GCA) have been recently proposed as a different non-relativistic limit of the AdS/CFT conjecture. In this note, we look at the representations of the GCA. We also construct explicitly the two and three point correlators in this non-relativistic limit of CFT and comment on the differences with the relativistic case and also the more studied Schrodinger group.

18 pages; v2: More general form of 3-point function presented. Other minor changes and clarifications