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arXiv 0705.2429hep-th
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S2和S3上字符串的单尖峰解

Single spike solutions for strings on S2 and S3

Riei Ishizeki, Martin Kruczenski

摘要:

本文研究两球上刚性旋转弦的解。其中,我们发现两个极限情况下,有特别的兴趣,一个是已经知道的巨磁振子和其他我们称之为单穗解决方案。最后一个解的极限行为是一个无限缠绕在赤道上的弦。它与那个解的不同之处在于存在一个高度为θ的尖峰指向北极。我们研究了它的性质,并计算了它的能量E和角动量J作为θ的函数。我们通过增加一个角动量来进一步推广该解,以获得S3上的解。我们发现这些结果的自旋链解释的自由费米子和哈伯德模型,但确切的关系,从场论得出相同的模型是不清楚的。

英文摘要:

We study solutions for rigidly rotating strings on a two sphere. Among them we find two limiting cases that have a particular interest, one is the already known giant magnon and the other we call the single spike solution. The limiting behavior of this last solution is a string infinitely wrapped around the equator. It differs from that solution by the existence of a single spike of height theta that points toward the north pole. We study its properties and compute its energy E and angular momentum J as a function of theta. We further generalize the solution by adding one angular momentum to obtain a solution on S3. We find a spin chain interpretations of these results in terms of free fermions and the Hubbard model but the exact relation with the same models derived from the field theory is not clear.

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。

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