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arXiv · 1705.07888

Chern--Simons term in the geometric theory of defects

M. O. Katanaev
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Abstract

The Chern--Simons term is used in the geometric theory of defects. The equilibrium equations with $\delta$-function source are explicitly solved with respect to the $SO(3)$ 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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M. O. Katanaev. 2017-05-20. Chern--Simons term in the geometric theory of defects. https://doi.org/10.1103/physrevd.96.084054

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