论文标题
熨除折痕
Ironing out the crease
论文作者
论文摘要
折痕是沿着无限线的有限角度折叠的表面操作员。在这里研究了6d $ {\ Mathcal n} =(2,0)$理论中的几个实现。它在仪表理论中起着类似于广义夸克易能电位或尖端异常维度的作用。我们确定了一个有限量,尽管与表面运算符无处不在,但可以研究,并在自由田间理论和全息二重奏中对其进行了评估。我们还发现无限折痕与其形成性转换为由两个胶合半球组成的紧凑型折痕之间有微妙的差异,让人联想到圆形的威尔逊环。我们通过沿折叠的$(2,1)$对称性的缺陷CFT技术的新颖应用证明,折痕的近BPS行为被确定为可观察到的紧凑型相对于其角度的衍生物,如Bremsstrahlung函数。我们还评论了Minkowski空间中折痕的轻度限制。
The crease is a surface operator folded by a finite angle along an infinite line. Several realisations of it in the 6d ${\mathcal N}=(2,0)$ theory are studied here. It plays a role similar to the generalised quark-antiquark potential, or the cusp anomalous dimension, in gauge theories. We identify a finite quantity that can be studied despite the conformal anomalies ubiquitous with surface operators and evaluate it in free field theory and in the holographic dual. We also find a subtle difference between the infinite crease and its conformal transform to a compact observable comprised of two glued hemispheres, reminiscent of the circular Wilson loop. We prove by a novel application of defect CFT techniques for the $SO(2,1)$ symmetry along the fold that the near-BPS behaviour of the crease is determined as the derivative of the compact observable with respect to its angle, as in the bremsstrahlung function. We also comment about the lightlike limit of the crease in Minkowski space.