论文标题

$ \ mathcal {n} = 2 $ susy gauge理论的不规则共形/w块和风味质量关系从$ a_ {n-1} $ quiver矩阵模型

Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model

论文作者

Itoyama, Hiroshi, Oota, Takeshi, Yoshioka, Reiji

论文摘要

$β$ - 成型的$ a_ {n-1} $ quiver矩阵模型的一系列大规模缩放限制,该模型保持了矩阵有限的大小,并且对应于$ n_ {f} = 2n \ rightArrow 2n \ rightarrow 2n-1,2n-1,2n-2,2n-2 $ sus s s s s $ corried in 4d $ suy $ suy $ suy $ su($ suy $ su)= ccat = can $ car = car = car = car = can = ccat向我们提供$ SU(N)$不规则共形/W块的整体表示。原始路径自然变形为复杂平面的那些路径,使我们能够将GWW类型的单一矩阵模型的$ su(n)$扩展,并具有一组对所有特征值的日志电位。查看享受模型最大对称性的参数空间中的区域,我们在质量参数之间得出了一组关系,这些关系可以用作存在Argyres-Douglas临界超表面的证据。

A sequence of massive scaling limits of the $β$-deformed $A_{n-1}$ quiver matrix model that keeps the size of the matrices finite and that corresponds to the $N_{f} =2n \rightarrow 2n-1, 2n-2$ limits on the number of flavors at 4d $su(n)$ ${\cal N} = 2$ SUSY gauge theory side is carried out to provide us with the integral representation of $su(n)$ irregular conformal/W block. The original paths are naturally deformed into those in the complex plane, permitting us to convert into an $su(n)$ extension of the unitary matrix model of GWW type with a set of log potentials for all species of eigenvalues. Looking at the region in the parameter space that enjoys the maximal symmetry of the model, we derive a set of relations among the mass parameters which may serve as evidence for the existence of the Argyres-Douglas critical hypersurface.

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