“School of Particles And Accelerator”

Back to Papers Home
Back to Papers of School of Particles And Accelerator

Paper   IPM / Particles And Accelerator / 12408
School of Particles and Accelerator
  Title:   BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
1.  Arjun Bagchi
2.  Reza Fareghbal
  Status:   Published
  Journal: High Energy Physics
  No.:  092
  Vol.:  1210
  Year:  2012
  Supported by:  IPM
The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal algebras in one lower dimension, the Galilean Conformal Algebra (GCA) in 2d and a closely related non-relativistic algebra in 3d [1]. We provide a better understanding of this surprising connection by providing a spacetime interpretation in terms of a novel contraction. The 2d GCA, obtained from a linear combination of two copies of the Virasoro algebra, is generically non-unitary. The unitary subsector previously constructed had trivial correlation functions. We consider a representation obtained from a different linear combination of the Virasoros, which is relevant to the relation with the BMS algebra in three dimensions. This is realised by a new space-time contraction of the parent algebra. We show that this representation has a unitary sub-sector with interesting correlation functions. We discuss implications for the BMS/GCA correspondence and show that the flat space limit actually induces precisely this contraction on the boundary conformal field theory. We also discuss aspects of asymptotic symmetries and the consequences of this contraction in higher dimensions

Download TeX format
back to top
scroll left or right