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arXiv 2202.05261hep-th
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单圈下的全息S-fold理论

Holographic S-fold theories at one loop

Connor Behan

AI总结:

本研究针对具有S-fold的4维超对称共形场论,利用AdS幺正性方法自举单圈双不连续性,迭代提取卡西米尔项分析反常维度,发现其不再是自旋的有理函数,揭示了动力学差异在单圈阶的体现。

摘要:

树级全息理论的一个共同特征是,一个理论中的关联函数可作为另一类连续对称性更少的理论的关联函数的生成函数。一类具有8个超荷的4维共形场论(CFT)正是如此,这类理论拥有与体空间胶子对偶的保护算符。该家族中最新的成员是利用S-fold定义的,S-fold将空间等同与IIB型弦论中S对偶群的作用相结合。这些CFT之间具有动力学起源的差异会在单圈阶首次显现。为在反常维度层面探究这一现象,我们使用AdS幺正性方法来自举单圈双不连续性。与此前的研究相比,后续分析未对允许的特殊函数类型做任何假设。相反,我们迭代提取卡西米尔奇异项和卡西米尔正则项,以从一条雷吉轨迹推进到下一条。我们的结果表明,存在S-fold时的反常维度不再是自旋的有理函数。

英文摘要:

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.

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