138 citations · 862 across the 82 of their papers we have counts for
27 papers · 1 filter
Topological Aspect of Knotted Vortex Filaments in Excitable Media
Ji-Rong Ren, Tao Zhu, Yi-Shi Duan
Scroll waves exist ubiquitously in three-dimensional excitable media. It's rotation center can be regarded as a topological object called vortex filament. In three-dimensional spac…
Topology of Knotted Optical Vortices
Ji-Rong Ren, Tao Zhu, Yi-Shi Duan
Optical vortices as topological objects exist ubiquitously in nature. In this paper, by making use of the -mapping topological current theory, we investigate the topology in the…
Self-Dual Vortices in the Fractional Quantum Hall System
Xin-Hui Zhang, Yi-Shi Duan, Yu-Xiao Liu +1
Based on the -mapping theory, we obtain an exact Bogomol'nyi self-dual equation with a topological term, which is ignored in traditional self-dual equation, in the fractional qu…
Magnetic Vortex Line Configuration of Faddeev-Niemi Knot
Yi-Shi Duan, Li-Da Zhang, Yu-Xiao Liu
This paper has been withdrawn by the author due to the inaccurate result.
Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere
Yu-Xiao Liu, Li-Jie Zhang, Yi-Shi Duan
In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold as extra dimensions. The result is that there exist ma…
Localization of fermionic fields on braneworlds with bulk tachyon matter
Xin-Hui Zhang, Yu-Xiao Liu, Yi-Shi Duan
Recently, Pal and Skar in [arXiv:hep-th/0701266] proposed a mechanism to arise the warped braneworld models from bulk tachyon matter, which are endowed with a thin brane and a thic…
Fermions in gravity and gauge backgrounds on a brane world
Li Zhao, Yu-Xiao Liu, Yi-Shi Duan
We solve the fermionic zero modes in gravity and gauge backgrounds on a brane involving a warped geometry, and study the localization of spin 1/2 fermionic field on the brane world…
Topological Properties of Spatial Coherence Function
Ji-Rong Ren, Tao Zhu, Yi-Shi Duan
Topology of the spatial coherence function is considered in details. The phase singularity (coherence vortices) structures of coherence function are classified by Hopf index and Br…
Self-dual Vortices in the Abelian Chern-Simons Model with Two Complex Scalar Fields
Yi-Shi Duan, Li-Da Zhang, Yu-Xiao Liu
Making use of -mapping topological current method, we discuss the self-dual vortices in the Abelian Chern-Simons model with two complex scalar fields. For each scalar field, an…
Topological Zero-Thickness Cosmic Strings
Yi-Shi Duan, Zhen-Bin Cao
In this paper, based on the gauge potential decomposition and the mapping theories, we study the topological structures and properties of the cosmic strings that arise in the A…
The total energy-momentum of the universe in teleparallel gravity
Yu-Xiao Liu, Zhen-Hua Zhao, Jie Yang +1
We investigate the conservation law of energy-momentum in teleparallel gravity by using general Noether theorem. The energy-momentum current has also superpotential and is therefor…
Vector and Spinor Decomposition of SU(2) Gauge Potential, their quivalence and Knot Structure in SU(2) Chern-Simons Theory
Yi-Shi Duan, Ji-Rong Ren, Ran Li
In this paper, spinor and vector decomposition of SU(2) gauge potential are presented and their equivalence is constructed using a simply proposal. We also obtain the action of Fad…
Inner topological structure of Hopf invariant
Ji-Rong Ren, Ran Li, Yi-Shi Duan
In light of -mapping topological current theory, the inner topological structure of Hopf invariant is investigated. It is revealed that Hopf invariant is just the winding number…
Fermions in Self-dual Vortex Background on a String-like Defect
Yu-Xiao Liu, Li Zhao, Xin-Hui Zhang +1
By using the self-dual vortex background on extra two-dimensional Riemann surfaces in 5+1 dimensions, the localization mechanism of bulk fermions on a string-like defect with the e…
Several new actions of -branes based on bulk scalar fields
Yi-Shi Duan, Zhen-Bin Cao
Generally, -branes play central roles in revealing the nonperturbative structures of the string/M-theory. In this paper, through a topological tensor current constructed in term…
Vortices in Quantum Röntgen Effect
Yi-Shi Duan, Ru-Nan Huang
By the application of -mapping topological theory, the properties of vortices in quantum Röntgen effect is thoroughly studied. The explicit expression of the vorticity is obtain…
Topological Properties of Phase Singularities in Wave Fields
Yi-Shi Duan, Ji-Rong Ren, Tao Zhu
Phase singularities as topological objects of wave fields appear in a variety of physical, chemical, and biological scenarios. In this paper, by making use of the -mapping topol…
Fermion Absorption Cross Section and Topology of Spherically Symmetric Black Holes
Yu-Xiao Liu, Li Zhao, Zhen-Bin Cao +1
In 1997, Liberati and Pollifrone in Phys. Rev. D56 (1997) 6458 (hep-th/9708014) achieved a new formulation of the Bekenstein-Hawking formula, where the entropy and the Euler charac…
Novel Topological Invariant in the U(1) Gauge Field Theory
Yi-Shi Duan, Xin-Hui Zhang, Li Zhao
Based on the decomposition of U(1) gauge potential theory and the -mapping topological current theory, the three-dimensional knot invariant and a four-dimensional new topologica…
Topological Excitation in Skyrme Theory
Yi-Shi Duan, Xin-Hui Zhang, Yu-Xiao Liu
Based on the -mapping topological current theory and the decomposition of gauge potential theory, we investigate knotted vortex lines and monopoles in Skyrme theory and simply d…
Topological aspect of black hole with Skyrme hair
Yi-Shi Duan, Xin-Hui Zhang, Li Zhao
Based on the -mapping topological current theory, we show that the presence of the black hole leaves fractional baryon charge outside the horizon in the Einstein-Skyrme theory.…
Topological Vortex Lines in Two-Gap Superconductor
Yi-Shi Duan, Xin-Hui Zhang, Li Zhao
Based on the U(1) gauge potential decomposition theory and the -mapping method, we study the vortex lines in two-gap superconductor and obtain the condition, under which the vor…
Knotted Solitons in a Charged Two-Condensate Bose System
Yi-Shi Duan, Xin-Hui Zhang, Yu-Xiao Liu +1
By making use of the decomposition of U(1) gauge potential theory and the ϕmapping method, we propose that a charged two-condensate Bose system possesses vortex lines and two class…
Inner Structure of Spin^{c}(4) Gauge Potential on 4-Dimensional Manifolds
Xin Liu, Yi-shi Duan, Wen-li Yang +1
The decomposition of gauge potential in terms of the Dirac 4% -spinor is investigated, where an important characterizing equation has been discovered. He…