Abstract
We find all those unitary irreducible representations of the ∞-sheeted covering group\(\tilde G\) of the conformal group SU(2,2)/ℤ4 which have positive energyP 0≧0. They are all finite component field representations and are labelled by dimensiond and a finite dimensional irreducible representation (j 1,j 2) of the Lorentz group SL(2ℂ). They all decompose into a finite number of unitary irreducible representations of the Poincaré subgroup with dilations.
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Mack, G. All unitary ray representations of the conformal group SU(2,2) with positive energy. Commun.Math. Phys. 55, 1–28 (1977). https://doi.org/10.1007/BF01613145
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DOI: https://doi.org/10.1007/BF01613145