Superselection Theory for Subsystems

Details Superselection Theory for Subsystems Superselection Theory for Subsystems

2000-01-25

arxiv.org/abs/math/0001139v1

Commun.Math.Phys. 218 (2001) 263-281

Mathematics

Operator Algebras

28 pages, LaTex

Scientific paper

10.1007/s002200100392

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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