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New Trends in Mathematical and Theoretical Physics
October 5, 2016 12:00, Moscow, MIAN, Gubkina, 8
 


Chern-Simons term in the geometric theory of defects

Mikhail Katanaeva, J. Zanellib

a Steklov Mathematical Institute
b Centro de Estudios Científicos
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MP4 298.4 Mb

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Mikhail Katanaev, J. Zanelli
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Abstract: 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.

Language: English
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