论文标题
$ \ Mathcal {n} = 2 $超符号Quivers中的手性相关器
Chiral correlators in $\mathcal{N}=2$ superconformal quivers
论文作者
论文摘要
我们考虑一个$ \ Mathcal {n} = 2 $超级符号字段理论的家庭，定义为$ \ mathbb {z} _q $ orbifolds $ \ mathcal {n} = 4 $ Super Yang-Mills理论。我们使用$ \ Mathcal {n} = 1 $ supperspace形式主义在平坦空间上对平面空间上的超对称性定位和显式场理论计算，使用矩阵模型方法在扰动水平上计算手性/抗手续相关函数。我们实施了一种高效的算法，以产生$ n $的有限值的大量结果，从而利用了箭袋的对称性，以减少操作员之间的混合的复杂性。最后，与现场理论计算的相互作用允许隔离特殊的可观察物，这些观察值偏离$ \ Mathcal {n} = 4 $仅在扰动理论中的高阶。
We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $\mathcal{N}=1$ superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of $N$, exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $\mathcal{N}=4$ only at high orders in perturbation theory.
