论文标题
全息S折理论在一个循环中
Holographic S-fold theories at one loop
论文作者
论文摘要
树级全息图的一个共同特征是，一个理论中的相关因可以作为另一理论中相关因子的生成函数，而对称性则较少。对于一个4D CFT的家族而言，这就是这种情况，并具有八个增压，这些负责人对企业的副本进行了双重保护。该家族的最新添加是使用S折定义的，这些S折将空间识别与S偶性组在IIB字符串类型中的作用结合在一起。这些具有动力学起源的CFT之间的差异首先在一个循环中显现出来。为了在异常维度的水平上探索这种现象，我们使用ADS Unitarity方法来引导单循环双重不连续性。与以前的研究相比，进行后续分析，而没有任何允许哪种特殊功能的假设。取而代之的是，Casimir单数和Casimir常规术语是迭代提取的，以便从一个regge轨迹移至下一个轨迹。我们的结果表明，在存在S倍的情况下，异常的尺寸不再是自旋的理性功能。
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent additions to this family were defined using S-folds which combine a spatial identification with an action of the S-duality group in type IIB string theory. Differences between these CFTs which have a dynamical origin first become manifest at one loop. To explore this phenomenon at the level of anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop double discontinuity. Compared to previous studies, the subsequent analysis is performed without any assumption about which special functions are allowed. Instead, the Casimir singular and Casimir regular terms are extracted iteratively in order to move from one Regge trajectory to the next. Our results show that anomalous dimensions in the presence of an S-fold are no longer rational functions of the spin.
