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05 May 2024
 
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Superselection Theory for Subsystems
Roberto Conti ; Sergio Doplicher ; John E. Roberts ;
Date 25 Dec 1999
Journal Commun.Math.Phys. 218 (2001) 263-281
Subject Operator Algebras; Mathematical Physics | math.OA math-ph math.MP
Affiliation University of Rome 2, University of Rome 1
AbstractAn 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.
Source arXiv, math.OA/0001139
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