Metrics with Galilean Conformal Isometry

Understand

The Galilean Conformal Algebra (GCA) arises in taking the non-relativistic limit of the symmetries of a relativistic Conformal Field Theory in any dimensions.

• It is known to be infinite-dimensional in all spacetime dimensions.
• In particular, the 2d GCA emerges out of a scaling limit of linear combinations of two copies of the Virasoro algebra.
• In this paper, we find metrics in dimensions greater than two which realize the finite 2d GCA (the global part of the infinite algebra) as their isometry by systematically looking at a construction in terms of cosets of this finite algebra.