On Representations and Correlation Functions of Galilean Conformal Algebras

By Arjun Bagchi, Ipsita Mandal. 2009

136 citations recorded by the source corpus.

Galilean conformal algebras (GCA) have been recently proposed as a different non-relativistic limit of the AdS/CFT conjecture. In this Letter, 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.

Subfields: Algebra and Number Theory, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f18a95a16eec18e657eb757a7f23370d3fc53368

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Citations in the corpus

Tensionless strings and Galilean Conformal Algebra (2013, methodology): “The states in the 2d GCFT are labelled by the eigenvalues of L0,M0 [32].”
BMS/GCA redux: towards flatspace holography from non-relativistic symmetries (2012, unknown): “1.1 Flat Space Holography 1 1.2 Galilean Conformal Algebra 2 1.3 An aside: Non-relativistic Hydrodynamics 3 1.4 Outline of the paper 3”
Flat holography: aspects of the dual field theory (2016, methodology): “Similar representations were constructed for the Galilean conformal algebra [28] for arbitrary spatial dimensions.”
Tensionless strings from worldsheet symmetries (2015, methodology): “We would be interested in building the representation theory of GCFTs in close analogy with regular CFTs and hence would concentrate on the highest weigh representations [60, 72].”