The Topological Structure of the Space-Time Disclination

Details The Topological Structure of the Space-Time Disclination The Topological Structure of the Space-Time Disclination

1998-08-14

arxiv.org/abs/hep-th/9808084v1

J.Math.Phys. 39 (1998) 6696-6705

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Revtex

Scientific paper

10.1063/1.532650

The space-time disclination is studied by making use of the decomposition theory of gauge potential in terms of antisymmetric tensor field and $\phi$-mapping method. It is shown that the self-dual and anti-self-dual parts of the curvature compose the space-time disclinations which are classified in terms of topological invariants--winding number. The projection of space-time disclination density along an antisymmetric tensor field is quantized topologically and characterized by Brouwer degree and Hopf index.

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