Faddeev模型中陈数为2的孤立子解

A Soliton Solution with Chern Number 2 in the Faddeev Model

使用SO(3)Faddeev模型等效于SU(2)Skyrme模型的重子数为零的介子区域的结果而得到的Faddeev模型的解析解,通过合适地构造解析函数,给出了Faddeev模型的具有涡旋结构的多孤立子解.这些解由第一类陈数(Chern number)来分类,它们相应于旋绕数为2的情况.

The analytical solutions of Faddeev model come from the result that the SO（3） Faddeev model is equivalent to the mesonic sector of SU（2） Skyrme model where baryon number current vanishes everywhere. By selecting the suitable analytical functions, the exact muhi-soliton bolutions of the Faddeev model are obtained. These solutions are classified by the first Chern number which correspond to the case of winding number 2 .