Non-existence of natural states for Abelian Chern-Simons theory
arXiv:1612.04080 · doi:10.1016/j.geomphys.2017.01.015
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.
v2: 7 pages; Final version published in Journal of Geometry and Physics