Non-Lorentzian $SU(1,n)$ Spacetime Symmetry in Various Dimensions

Research output: Working paper/PreprintPreprint

13 Downloads (Pure)

Abstract

We discuss non-Lorentzian Lagrangian field theories in $2n-1$ dimensions that admit an $SU(1,n)$ spacetime symmetry which includes a scaling transformation. These can be obtained by a conformal compactification of a $2n$-dimensional Minkowskian conformal field theory. We discuss the symmetry algebra, its representations including primary fields and unitarity bounds. We also give various examples of free theories in a variety of dimensions and a discussion of how to reconstruct the parent $2n$-dimensional theory.
Original languageUndefined/Unknown
Publication statusPublished - 29 Dec 2021

Keywords

  • hep-th

Cite this