Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500010 | Journal of Geometry and Physics | 2017 | 8 Pages |
Abstract
We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to Câ-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
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Claudio Dappiaggi, Simone Murro, Alexander Schenkel,