Description of Disclinations and Dislocations by the Chern–Simons Action for $\mathbb{S}\mathbb{O}(3)$ Connection - INSPIRE

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Description of Disclinations and Dislocations by the Chern–Simons Action for $\mathbb{S}\mathbb{O}(3)$ Connection

M.O. Katanaev

Oct 9, 2018

4 pages

Part of Proceedings, 12th International Workshop on Supersymmetries and Quantum Symmetries (SQS'17) : Dubna, Russia, 890-893

Published in:

Phys.Part.Nucl. 49 (2018) 5, 890-893

Contribution to:

- SQS'17
, 890-893

Published: Oct 9, 2018

DOI:

10.1134/S1063779618050234

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Abstract: (Springer)

We obtained the exact solution of the Euler–Lagrange equations following from the Chern–Simons action for

\mathbb{S}\mathbb{O}(3)

connection with δ-type source. This solution is proved to describe straight linear disclination in the framework of geometric theory of defects. Torsion tensor components are calculated assuming the metric to be Euclidean. It shows that disclination can be followed by continuous distribution of dislocations with cylindrical symmetry.

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