# Classification of Subsystems for Local Nets with Trivial Superselection Structure

February 24, 2000

Let F be a local net of von Neumann algebras in four spacetime dimensions
satisfying certain natural structural assumptions. We prove that if F has
trivial superselection structure then every covariant, Haag-dual subsystem B is
the fixed point net under a compact group action on one component in a suitable
tensor product decomposition of F. Then we discuss some application of our
result, including free field models and certain theories with at most countably
many sectors.

open access link
Commun.Math.Phys. 217 (2001) 89-106

@article{Carpi:2000hh,
author = "Carpi, Sebastiano and Conti, Roberto",
title = "{Classification of subsystems for local nets with trivial
superselection structure}",
journal = "Commun. Math. Phys.",
volume = "217",
year = "2001",
pages = "89-106",
doi = "10.1007/PL00005550",
eprint = "math/0002204",
archivePrefix = "arXiv",
primaryClass = "math-oa",
SLACcitation = "%%CITATION = MATH/0002204;%%"
}

Keywords:

*none*