Chern--Simons term in the geometric theory of defects

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.

arXiv comment8 pages

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Cited by in corpus (3)

• The 't Hooft-Polyakov monopole in the geometric theory of defects
• Point disclinations in the Chern-Simons geometric theory of defects
• Gauge parameterization of the $n$-field