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Chern--Simons term in the geometric theory of defects

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arxiv 1705.07888 v1 pith:N5XBQYC6 submitted 2017-05-20 math-ph gr-qcmath.MP

classification math-phgr-qcmath.MP
keywords defectsgeometrictheorychern--simonsconnectiondefectdisclinationmetric
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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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  1. Point disclinations in the Chern-Simons geometric theory of defects

    math-ph 2019-08 conditional novelty 5.0 of 10

    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.

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