Chern-Simons Action and Disclinations

被引：6
|
作者：
Katanaev, M. O. [1 ,2 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow, Russia
[2] Kazan Fed Univ, NI Lobachevsky Inst Math & Mech, Kremlevskaya Ul 35, Kazan 420008, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2018年 / 301卷 / 01期
关键词：
2ND-ORDER ELLIPTIC EQUATION; GEOMETRIC-THEORY; DEFECTS; DISLOCATIONS; GRAVITY;
D O I：
10.1134/S0081543818040107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：114 / 133
页数：20
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