Superselection Theory for Subsystems

(2) University of Rome 1); John E. Roberts (1) ((1) University of Rome 2; Roberto Conti (1); Sergio Doplicher (2)

arxiv: math/0001139 · v1 · submitted 2000-01-25 · 🧮 math.OA · math-ph· math.MP

Superselection Theory for Subsystems

Roberto Conti (1) , Sergio Doplicher (2) , John E. Roberts (1) ((1) University of Rome 2 , (2) University of Rome 1) This is my paper

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keywords fieldgroupobservablecanonicalcompactdualityinclusionnets

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An inclusion of observable nets satisfying duality induces an inclusion of canonical field nets. Any Bose net intermediate between the observable net and the field net and satisfying duality is the fixed-point net of the field net under a compact group. This compact group is its canonical gauge group if the occurrence of sectors with infinite statistics can be ruled out for the observable net and its vacuum Hilbert space is separable.

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Superselection Theory for Subsystems

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