Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps

Details Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps Positive Energy Representations, Holomorphic Discrete Series and Finite-Dimensional Irreps

2007-12-28

arxiv.org/abs/0712.4375v3

J.Phys.A41:425206,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, TEX with Harvmac using amssym.def, amssym.tex, epsf.tex; v2: new texts in Sections 1 & 3, new refs; v3: added 5 figu

Scientific paper

10.1088/1751-8113/41/42/425206

Let G be a semi-simple non-compact Lie group with unitary lowest/highest weight representations. We consider explicitly the relation between three types of representations of G: positive energy (unitary lowest weight)representations, (holomorphic) discrete series representations and non-unitary finite-dimensional irreps. We consider mainly the conformal groups SO(n,2) treating in full detail the cases n=1,3,4.

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