Chern—Simons Action and Disclinations
- 14 Downloads
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.
Unable to display preview. Download preview PDF.
- 12.M. O. Katanaev, “Geometric methods in mathematical physics,” arXiv: 1311.0733v3 [math-ph].Google Scholar
- 18.K. Kondo, “On the geometrical and physical foundations of the theory of yielding,” in Proc. 2nd Japan Natl. Congr. for Applied Mechanics, 1952 (Japan Natl. Committee Theor. Appl. Mech. (Sci. Counc. Japan), Tokyo, 1953), pp. 41–47.Google Scholar