Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of subsystems for graded-local nets with trivial
  superselection structure   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.

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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat