Classification of subsystems for graded local nets with trivial superselection structure
Dec, 2003Citations per year
Abstract: (arXiv)
We classify Haag-dual Poincar\'e covariant subsystems \B\subset \F of a graded-local net \F on 4D Minkowski spacetime which satisfies standard assumptions and has trivial superselection structure. The result applies to the canonical field net \F_\A of a net \A of local observables satisfying natural assumptions. As a consequence, provided that it has no nontrivial internal symmetries, such an observable net \A is generated by (the abstract versions of) the local energy-momentum tensor density and the observable local gauge currents which appear in the algebraic formulation of the quantum Noether theorem. Moreover, for a net \A of local observables as above, we also classify the Poincar\'e covariant local extensions \B \supset \A which preserve the dynamics.Note:
- 38 pages, LaTex
- axiomatic field theory
- operator: algebra
- superselection rule
- invariance: Poincare
- duality
- bibliography
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