All unitary ray representations of the conformal group SU(2,2) with positive energy

Dec, 1975
51 pages
Published in:
  • Commun.Math.Phys. 55 (1977) 1
  • Published: Dec, 1975
Report number:
  • DESY-75-50

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Abstract: (Springer)
We find all those unitary irreducible representations of the ∞-sheeted covering groupG~\tilde G of the conformal group SU(2,2)/ℤ4 which have positive energyP0≧0. They are all finite component field representations and are labelled by dimensiond and a finite dimensional irreducible representation (j1,j2) of the Lorentz group SL(2ℂ). They all decompose into a finite number of unitary irreducible representations of the Poincaré subgroup with dilations.
  • group: conformal
  • GROUP THEORY: LIE
  • GROUP THEORY: LORENTZ
  • UNITARITY
  • ENERGY
  • SYMMETRY: SU(2,2)
  • SYMMETRY: SU(2,2)/Z4
  • SYMMETRY: SL(2,C)
  • SYMMETRY: DILATION
  • AXIOMATIC FIELD THEORY