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Chern--Simons term in the geometric theory of defects

Mathematical Physics 2017-11-01 v1 General Relativity and Quantum Cosmology math.MP

Abstract

The Chern--Simons term is used in the geometric theory of defects. The equilibrium equations with δ\delta-function source are explicitly solved with respect to the SO(3)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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Cite

@article{arxiv.1705.07888,
  title  = {Chern--Simons term in the geometric theory of defects},
  author = {M. O. Katanaev},
  journal= {arXiv preprint arXiv:1705.07888},
  year   = {2017}
}

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8 pages