Non-Abelian Vortices of Higher Winding Numbers
Non-Abelian Vortices of Higher Winding Numbers
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DOI：
10.1103/physrevd.74.065021
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发表时间：
2006-07
影响因子：
5
通讯作者：
M. Eto;K. Konishi;G. Marmorini;M. Nitta;K. Ohashi;W. Vinci;N. Yokoi
中科院分区：
文献类型：
--
作者：
M. Eto;K. Konishi;G. Marmorini;M. Nitta;K. Ohashi;W. Vinci;N. Yokoi
我们详细研究了Hashimoto-Tong（hep-th/0506022）和Auzzi-Shifman-Yung（hep-th/0511150）最近讨论的Higgs相U（2）规范理论中缠绕数为2（k=2）的轴对称涡旋（或等价地，两个基本涡旋的同轴复合）的模空间。我们发现它是一个加权射影空间WCP^2_（2，1，1）=CP^2/Z_2。即使包含相对位置模的全模空间是光滑的，该流形也包含A_1型（Z_2）轨道折叠奇点。研究了这种涡旋的SU（2）变换性质。我们的结果被推广到具有N个味的U（N）规范理论，其中k=2的轴对称涡旋的内部模空间被发现是一个加权格拉斯曼流形。它包含沿沿着子流形的奇点。
We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of co-axial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase, recently discussed by Hashimoto-Tong (hep-th/0506022) and Auzzi-Shifman-Yung (hep-th/0511150). We find that it is a weighted projective space WCP^2_(2,1,1)=CP^2/Z_2. This manifold contains an A_1-type (Z_2) orbifold singularity even though the full moduli space including the relative position moduli is smooth. The SU(2) transformation properties of such vortices are studied. Our results are then generalized to U(N) gauge theory with N flavors, where the internal moduli space of k=2 axially symmetric vortices is found to be a weighted Grassmannian manifold. It contains singularities along a submanifold.