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 2007.15760hep-th
收藏

$AdS_{5}\times S^{5}$中圆威尔逊圈的精密全息术

On precision holography for the circular Wilson loop in $AdS_{5}\times S^{5}$

Li Botao, Daniel Medina-Rincon

摘要:

本文重新讨论了强耦合下次首阶平面极限N=4 SYM的1/2-BPS圆威尔逊圈的弦论计算,给出了它的半经典弦配分函数与具有平凡期望值的纬向威尔逊圈的对偶弦配分函数之比。在应用从圆盘到圆柱的保角变换之后,这个问题可以通过Gel'fand-Yaglom形式主义来处理。利用文献中的结果并从修改的Gelfand-Yaglom公式中排除零模,我们获得了与已知场论结果的匹配。如相移法计算中所见,非零模贡献抵消,最终结果来自纬度威尔逊圈的零模简并。

英文摘要:

The string theory calculation of the 1/2-BPS circular Wilson loop of N=4 SYM in the planar limit at next to leading order at strong coupling is revisited in the ratio of its semiclassical string partition function and the one dual to a latitude Wilson loop with trivial expectation value. After applying a conformal transformation from the disk to the cylinder, this problem can be approached by means of the Gel'fand-Yaglom formalism. Using results from the literature and the exclusion of zero modes from a modified Gel'fand-Yaglom formula, we obtain matching with the known field theory result. As seen in the phaseshift method computation, non-zero mode contributions cancel and the end result comes from the zero mode degeneracies of the latitude Wilson loop.

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。

↑