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The Chern–Simons term is used in the geometric theory of defects. The equilibrium equations with -function source are explicitly solved with respect to the connection. This solution describes one straight linear disclination and corresponds to the new kind of geometrical defect: it is the defect in the connection but not the metric which is the flat Euclidean metric. This is the first example of a disclination described within the geometric theory of defects. The corresponding angular rotation field is computed.

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