论文标题

6d $ \ MATHCAL {n} =(2,0)$ Theories中的Boottragping String Dynamics

Bootstrapping string dynamics in the 6d $\mathcal{N} = (2, 0)$ theories

论文作者

Meneghelli, Carlo, Trépanier, Maxime

论文摘要

我们提供了两种补充方法,用于计算应力张量的2分函数,在存在6D $ \ MATHCAL {N} =(2,0)$理论的1/2 bps表面缺陷的情况下。首先,我们使用$ n $的分析引导技术来获得对此相关器的第一个非平凡校正,从中我们从中提取缺陷CFT(DCFT)数据,这些数据表征了1/2 bps平面的2D DCFT。在此过程中,我们得出了超对称反演公式,获得相关的超符号块,并检查交叉对称性是否满足。值得注意的是,我们的结果具有全体形态功能,其外观与Beem,Rastelli和Van Rees的手性代数构建有关。其次,我们使用手性代数描述为DCFT的BPS扇区获得确切的结果,在任何$ n $上有效以及任何选择表面运算符。这些结果为神秘6D理论的弦动力提供了一个窗口。

We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d $\mathcal{N} = (2,0)$ theories. First, we use analytical bootstrap techniques at large $N$ to obtain the first nontrivial correction to this correlator, from which we extract the defect CFT (dCFT) data characterising the 2d dCFT of the 1/2 BPS plane. Along the way we derive a supersymmetric inversion formula, obtain the relevant superconformal blocks and check that crossing symmetry is satisfied. Notably our result features a holomorphic function whose appearance is related to the chiral algebra construction of Beem, Rastelli and van Rees. Second, we use that chiral algebra description to obtain exact results for the BPS sector of the dCFT, valid at any $N$ and for any choice of surface operator. These results provide a window into the dynamics of strings of the mysterious 6d theories.

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