arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1709.03048hep-th
收藏

超导宇宙弦的拓扑不变量

Topological invariants for superconducting cosmic strings

Xinfei Li, Xin Liu

摘要:

超导宇宙弦(SCS)最近重新引起人们的兴趣。本文将闭的混沌系统看作是有向的纽结线缺陷,通过研究其Hopf拓扑不变量来研究其拓扑结构。这个不变量是阿贝尔Chern-Simons作用,从它可以构造HOMFLYPT纽结多项式。结果表明,多项式的两个独立参数分别对应于扭振和扭转的贡献。这种新方法在拓扑上比传统的(自)连接数方法更强,因为传统的(自)连接数方法有时不能检测出纽结的本质拓扑,从而为研究超导宇宙弦作为复杂系统的物理相互联系提供了新的思路.

英文摘要:

Superconducting cosmic strings (SCSs) have received revived interests recently. In this paper we treat closed SCSs as oriented knotted line defects, and concentrate on their topology by studying the Hopf topological invariant. This invariant is an Abelian Chern-Simons action, from which the HOMFLYPT knot polynomial can be constructed. It is shown that the two independent parameters of the polynomial correspond to the writhe and twist contributions, separately. This new method is topologically stronger than the traditional (self-) linking number method which fails to detect essential topology of knots sometimes, shedding new light upon the study of physical intercommunications of superconducting cosmic strings as a complex system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑