论文标题
ABJM在有限的$ n $中通过4D超级
ABJM at finite $N$ via 4d supergravity
论文作者
论文摘要
我们将ARXIV的猜想应用于重力构建块，以s $^7/\ mathbb {z} _K $的有效超级重力描述。利用全息双重ABJM理论的已知定位结果，我们确定了对ADS $ _4 $ SUPERGRAVITY的较高衍生校正的完整塔，并进行了一系列量子校正。这种独特的固定了重力块，从而导致对许多确切的ABJM观测值的全息预测，不包括规格组中的恒定和非扰动校正。预测的S $^3 $分区功能是一种通风的功能，可重现先前的结果，并将其推广到包括任意挤压和质量变形/R-CHARGE分配。相反，拓扑扭曲和超符号指数是两个不同的通风函数的产品，与以前对象的未精制限制的直接数字计算一致。任意超对称背景的一般固定点公式类似地作为通风函数的产物。
We apply the conjecture of arXiv:2111.06903 for gravitational building blocks to the effective supergravity description of M-theory on S$^7/\mathbb{Z}_k$. Utilizing known localization results for the holographically dual ABJM theory, we determine a complete tower of higher derivative corrections to the AdS$_4$ supergravity and a further set of quantum corrections. This uniquely fixes the gravitational block, leading to holographic predictions for a number of exact ABJM observables, excluding only constant and non-perturbative corrections in the gauge group rank $N$. The predicted S$^3$ partition function is an Airy function that reproduces previous results and generalizes them to include arbitrary squashing and mass deformations/R-charge assignments. The topologically twisted and superconformal indices are instead products of two different Airy functions, in agreement with direct numeric calculations in the unrefined limit of the former object. The general fixed-point formula for an arbitrary supersymmetric background is similarly given as a product of Airy functions.
