Superselection Theory for Subsystems

Abstract

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.

28 pages, LaTex

Cited by in corpus (9)

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• Galois Correspondence and Fourier Analysis on Local Discrete Subfactors
• Classification of subsystems for graded-local nets with trivial superselection structure
• Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models
• On the extension of stringlike localised sectors in 2+1 dimensions