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Topological quantization of self-dual Chern-Simons vortices on Riemann Surfaces
Yongqiang Wang, Yuxiao Liu, Zhenhua Zhao +1
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 -mapping…
A new form of self-duality equations with topological term
Yong-Qiang Wang, Yu-Xiao Liu, Yi-Shi Duan
Based on the U(1) gauge potential decomposition theory and -mapping theory, the topological inner structure of the self-duality (Bogomol'nyi-type) equations are studied. The spe…
The Non-Abelian Topological Gauge Field Theory of \tilde{p}-Branes
Yi-Shi Duan, Ji-rong Ren
By the generalization of Chern--Simons topological current and Gauss--Bonnet-Chern theorem, the purpose of this paper is to make a non-Abelian gauge field theory foundation of the…
The second Chern class in Spinning System
Yishi Duan, Libin Fu, Xin Liu
Topological property in a spinning system should be directly associated with its wavefunction. A complete decomposition formula of SU(2) gauge potential in terms of spinning wavefu…
Topological quantum mechanics and the first Chern class
Yishi Duan, Libin Fu, Hong Zhang
Topological properties of quantum system is directly associated with the wave function. Based on the decomposition theory of gauge potential, a new comprehension of topological qua…
SO(4) Monopole As A New Topological Invariant And Its Topological Structure
Sheng Li, Yishi Duan
By making use of the decomposition theory of gauge potential, the inner structure of SU(2) and SO(4) gauge theory is discussed in detail. We find the SO(4) monopole can be given vi…