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arXiv · 2112.14860

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

Neil Lambert·Rishi Mouland·Tristan Orchard
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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.

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Neil Lambert, Rishi Mouland, Tristan Orchard. 2021-12-29. Non-Lorentzian $SU(1,n)$ Spacetime Symmetry in Various Dimensions. https://arxiv.org/abs/2112.14860

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