Classification of Subsystems for Local Nets with Trivial Superselection Structure
算子代数
2009-10-31 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0002204,
title = {Classification of Subsystems for Local Nets with Trivial Superselection Structure},
author = {Sebastiano Carpi and Roberto Conti},
journal= {arXiv preprint arXiv:math/0002204},
year = {2009}
}
备注
31 pages, LaTex