双螺旋威尔逊圈：两个角动量的情形
Double-helix Wilson loops: case of two angular momenta
摘要：
近年来，双螺旋结构的威尔逊圈在规范理论中研究大自旋算符时起着重要的作用。它们对应于一个夸克和一个反夸克在S3上做圆周运动（因此，它们中的每一个都描述了RxS 3中的螺旋）。在本文中，我们考虑的情况下，粒子有两个角动量的S3。对应于这种威尔逊圈的弦解可以通过与Neumann-Rosochatius系统的关系找到，从而可以计算出该位形的能量和角动量。还考虑了只有一个角动量的特殊情况。它可以看作是N=4 SYM的SL（2）扇区中与算子对偶的旋转弦的解析延拓。
英文摘要：
Recently, Wilson loops with the shape of a double helix have played an important role in studying large spin operators in gauge theories. They correspond to a quark and an anti-quark moving in circles on an S3 (and therefore each of them describes a helix in RxS3). In this paper we consider the case where the particles have two angular momenta on the S3. The string solution corresponding to such Wilson loop can be found using the relation to the Neumann-Rosochatius system allowing the computation of the energy and angular momenta of the configuration. The particular case of only one angular momentum is also considered. It can be thought as an analytic continuation of the rotating strings which are dual to operators in the SL(2) sector of N=4 SYM.
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