ar X iv : h ep - t h / 06 04 13 8 v 3 5 N ov 2 00 6 Topological structure of the vortex solution in Jackiw - Pi model

X iv : h ep - t h / 06 04 13 8 v 2 5 S ep 2 00 6 Topological structure of the vortex solution in Jackiw - Pi model

By using φ-mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortex solution and topological number which is determined by Hopf index and Brouwer degree. We also give the quantization of flux in this case. Then, we study the angular momentum of the vortex, it...

ar X iv : h ep - t h / 06 10 14 2 v 1 1 2 O ct 2 00 6 Topological structure of the many vortices solution in Jackiw - Pi model

Abstract We construct an M -solitons solutions in Jackiw-Pi model depends on 5M parameters(two positions, one scale, one phase per solition and one charge of each solution). By using φ -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and t...

ar X iv : h ep - t h / 04 06 13 5 v 2 1 2 N ov 2 00 4 A construction of fuzzy S 4

We construct a fuzzy S 4 , utilizing the fact that CP 3 is an S 2 bundle over S 4. We find that the fuzzy S 4 can be described by a block-diagonal form whose embedding square matrix represents a fuzzy CP 3. We discuss some pending issues on fuzzy S 4 , i.e., precise matrix-function correspondence, associativity of the algebra, and etc. Similarly, we also obtain a fuzzy S 8 , using the fact that...

ar X iv : h ep - t h / 02 11 04 8 v 1 7 N ov 2 00 2 Inflation , Quantum Cosmology and the Anthropic Principle 1

ar X iv : h ep - p h / 06 11 27 1 v 2 2 2 N ov 2 00 6 Structure of the axial - vector meson D s 1 ( 2460 )