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

N. Lambert; R. Mouland; T. Orchard

doi:10.3389/fphy.2022.864800

Frontiers in Physics (Jun 2022)

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

N. Lambert,
R. Mouland,
T. Orchard

Affiliations

N. Lambert: Department of Mathematics, King’s College London, London, United Kingdom
R. Mouland: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United Kingdom
T. Orchard: Department of Mathematics, King’s College London, London, United Kingdom

DOI: https://doi.org/10.3389/fphy.2022.864800
Journal volume & issue: Vol. 10

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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