论文标题
圆形Wilson循环和字符串理论的强耦合扩展$ _5 \ times {\ rm s}^5 $和ads $ _4 \ times {\ rm cp}^3 $
Strong coupling expansion of circular Wilson loops and string theories in AdS$_5 \times {\rm S}^5$ and AdS$_4 \times {\rm CP}^3$
论文作者
论文摘要
我们讨论了$ \ frac {1} {1} {2} $ bps圆形的威尔逊循环的$ {\ cal n} = 4 $ sym和abjm sym and abjm的弦理论与$ {\ rm ads al ads _5 \ rm ads s^5 $ a d $ a d $ a d $，在最小表面周围膨胀的第一个转向（一环）上。我们观察到，包括逆字符串耦合常数的总体因子$ 1/g _ {\ rm s} $，适用于带有磁盘拓扑的打开字符串分区函数，以及与字符串张力$ t $的平方根成比例的通用预成分，sym syms和abjm结果均与字符串理论的结果相匹配。我们根据$ \ sqrt t $ prefactor的起源提供了一个解释，基于字符串分区功能中出现的一环决定符的特殊功能。后者还暗示了自然概括$z_χ\ sim（\ sqrt t/g _ {\ rm s}）^χ$对较高属的贡献，其中欧拉数$χ$，这与量规理论一面的$ 1/n $校正的结构一致。
We revisit the problem of matching the strong coupling expansion of the $\frac{1}{2}$ BPS circular Wilson loops in ${\cal N}=4$ SYM and ABJM gauge theories with their string theory duals in ${\rm AdS}_5 \times S^5$ and ${\rm AdS}_4 \times CP^3$, at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor $1/g_{\rm s}$ of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension $T$, both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the $\sqrt T$ prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization $Z_χ\sim (\sqrt T/g_{\rm s})^χ$ to higher genus contributions with the Euler number $χ$, which is consistent with the structure of the $1/N$ corrections found on the gauge theory side.
