Classification of Subsystems for Local Nets with Trivial Superselection Structure
Carpi, Sebastiano ; Conti, Roberto
arXiv, 0002204 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-02-24
Classification:  Mathematics - Operator Algebras,  Mathematical Physics 
@article{0002204,
     author = {Carpi, Sebastiano and Conti, Roberto},
     title = {Classification of Subsystems for Local Nets with Trivial Superselection
  Structure},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002204}
}

Carpi, Sebastiano; Conti, Roberto. Classification of Subsystems for Local Nets with Trivial Superselection
  Structure. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002204/