论文标题
广告中的字符串三点功能的证明$ _3 $
A proof for string three-point functions in AdS$_3$
论文作者
论文摘要
$ \ text {sl}（2，\ mathbb {r}）$ - wzw模型涉及光谱流动器的$ wzw模型很难计算。最近在[arxiv：2105.12130v2]中猜想了相应三点函数的显式积分表达式。在本文中，我们提供了这种猜想的证明。为此，我们根据所谓的$ \ text {sl}（2，\ mathbb {r}）$系列标识扩展了[arxiv：2208.00978]的方法，该方法将属于不同光谱流扇区的顶点运算符。在这种情况下，我们还强调了覆盖地图的全体形态的作用。我们的结果构成了证明ADS $ _3 $ _3 $/CFT $ _2 $全息双重性的重要里程碑。
Correlation functions of the $\text{SL}(2,\mathbb{R})$-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [arXiv:2105.12130v2]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [arXiv:2208.00978] based on the so-called $\text{SL}(2,\mathbb{R})$ series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this context. Our results constitute an important milestone for proving this instance of the AdS$_3$/CFT$_2$ holographic duality at finite 't Hooft coupling.
