On Representations and Correlation Functions of Galilean Conformal Algebras

TL;DR

This paper explores the representations of Galilean Conformal Algebras and explicitly constructs two- and three-point correlators, highlighting differences from relativistic conformal theories and the Schrödinger group.

Contribution

It provides the first detailed analysis of GCA representations and explicit correlator constructions in the non-relativistic limit of CFT.

Findings

Explicit two-point correlators for GCA

Explicit three-point correlators for GCA

Differences between GCA and relativistic CFT correlators

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.