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Новые направления в математической и теоретической физике
5 октября 2016 г. 12:00, г. Москва, МИАН, ул. Губкина, д. 8


Chern-Simons term in the geometric theory of defects

Mikhail Katanaeva, J. Zanellib

a Steklov Mathematical Institute
b Centro de Estudios Científicos



Аннотация: The Chern-Simons term is used in the geometric theory of defects. The equilibrium equations with $\delta$-function source are explicitly solved with respect to the SO(3) connection. This solution describes one straight linear disclination and corresponds to the new kind of geometrical defect: it is the defect in the connection but not the metric which is the flat Euclidean metric. This is the first example of a disclination described within the geometric theory of defects. The corresponding angular rotation field is computed.

Язык доклада: английский
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