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Non-existence of natural states for Abelian Chern–Simons theory

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We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus… Click to show full abstract

We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of quantum field theories on Lorentzian manifolds, but also of topological quantum field theories formulated in the algebraic approach.

Keywords: natural states; chern simons; non existence; existence natural; abelian chern; simons theory

Journal Title: Journal of Geometry and Physics
Year Published: 2017

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