TY - JOUR
T1 - Non-Lorentzian SU(1, n) Spacetime Symmetry In Various Dimensions
AU - Lambert, Neil
AU - Mouland, Rishi
AU - Orchard, Tristan
PY - 2022/6/23
Y1 - 2022/6/23
N2 - 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.
AB - 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.
U2 - 10.3389/fphy.2022.864800
DO - 10.3389/fphy.2022.864800
M3 - Article
JO - Frontiers in Physics
JF - Frontiers in Physics
ER -