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Point disclinations in the Chern–Simons geometric theory of defects

Steklov Mathematical Institute, ul. Gubkina, 8, Moscow 119991, Russia

N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya Street 18, 420008 Kazan, Russia

E-mail Address: katanaev@mi.ras.ru

Corresponding author.

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B. O. Volkov

Steklov Mathematical Institute, ul. Gubkina, 8, Moscow 119991, Russia

Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow Oblast, 141700, Russia

E-mail Address: borisvolkov1986@gmail.com

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https://doi.org/10.1142/S0217984921500123Cited by:6 (Source: Crossref)

Abstract

We use the Chern–Simons action for a $𝕊 𝕆 (3)$ -connection for the description of point disclinations in the geometric theory of defects. The most general spherically symmetric $𝕊 𝕆 (3)$ -connection with zero curvature is found. The corresponding orthogonal spherically symmetric $𝕊 𝕆 (3)$ matrix and $n$ -field are computed. Two examples of point disclinations are described.

Keywords:

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