Classification of Subsystems for Local Nets with Trivial Superselection Structure

Sebastiano Carpi, Roberto Conti
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;%%" }

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