The authors find the most general spherically symmetric flat SO(3) connection in the Chern-Simons geometric theory of defects and use it to construct point disclination solutions.
Chern--Simons term in the geometric theory of defects
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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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math-ph 1years
2019 1verdicts
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Point disclinations in the Chern-Simons geometric theory of defects
The authors find the most general spherically symmetric flat SO(3) connection in the Chern-Simons geometric theory of defects and use it to construct point disclination solutions.