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 -function source are explicitly solved with respect to the 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.
Keywords
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}
}
Comments
8 pages