Topological quantization of self-dual Chern-Simons vortices on Riemann Surfaces

Details Topological quantization of self-dual Chern-Simons vortices on Riemann Surfaces Topological quantization of self-dual Chern-Simons vortices on Riemann Surfaces

2005-08-09

arxiv.org/abs/hep-th/0508063v4

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTex

Scientific paper

The self-duality equations of Chern-Simons Higgs theory in a background curved spacetime are studied by making use of the U(1) gauge potential decomposition theory and $\phi$-mapping method. The special form of the gauge potential decomposition is obtained directly from the first of the self-duality equations. Using this decomposition, a rigorous proof of magnetic flux quantization in background curved spacetime is given and the unit magnetic flux in curved spacetime is also found . Furthermore, the precise self-dual vortex equation with topological term is obtained, in which the topological term has always been ignored.

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