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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