Email this article Chern—Simons Action and Disclinations
- Authors: Katanaev M.O.1,2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- N.I. Lobachevsky Institute of Mathematics and Mechanics
- Issue: Vol 301, No 1 (2018)
- Pages: 114-133
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175563
- DOI: https://doi.org/10.1134/S0081543818040107
- ID: 175563
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Abstract
We review the main properties of the Chern—Simons and Hilbert—Einstein actions on a three-dimensional manifold with Riemannian metric and torsion. We show a connection between these actions that is based on the gauge model for the inhomogeneous rotation group. The exact solution of the Euler—Lagrange equations is found for the Chern—Simons action with the linear source. This solution is proved to describe one straight linear disclination in the geometric theory of defects.
About the authors
M. O. Katanaev
Steklov Mathematical Institute of Russian Academy of Sciences; N.I. Lobachevsky Institute of Mathematics and Mechanics
Author for correspondence.
Email: katanaev@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; Kremlevskaya ul. 35, Kazan, 420008
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