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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 124–143
DOI: https://doi.org/10.1134/S0371968518020103 (Mi tm3873) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Chern–Simons action and disclinations

M. O. Katanaevab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya ul. 35, Kazan, 420008 Russia
Full-text PDF (261 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968518020103
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
The work was partly supported by the Russian Government Program of Competitive Growth of Kazan Federal University.
Received: July 25, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 114–133
DOI: https://doi.org/10.1134/S0081543818040107
Bibliographic databases:
Document Type: Article
UDC: 517.958:539.3
Language: Russian
Citation: M. O. Katanaev, “Chern–Simons action and disclinations”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 124–143; Proc. Steklov Inst. Math., 301 (2018), 114–133
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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