论文标题
分解$ S $理论和表面缺陷
Factorized class $S$ theories and surface defects
论文作者
论文摘要
众所周知，某些$ S $的理论实际上被分解为多耦非平均四维$ n = 2 $理论。 We propose a way of constructing examples of this phenomenon using the physics of half-BPS surface defects, and check that it works in one simple example: it correctly reproduces a known realization of two copies of $N=2$ superconformal $SU(2)$ QCD, describing this factorized theory as a class $S$ theory of type $A_3$ on a five-punctured sphere with a twist line.另外，我们还提出了明确的检查，即在两个示例中，推定的分解级别$ s $理论的库仑分支具有预期的产品结构。
It is known that some theories of class $S$ are actually factorized into multiple decoupled nontrivial four-dimensional $N=2$ theories. We propose a way of constructing examples of this phenomenon using the physics of half-BPS surface defects, and check that it works in one simple example: it correctly reproduces a known realization of two copies of $N=2$ superconformal $SU(2)$ QCD, describing this factorized theory as a class $S$ theory of type $A_3$ on a five-punctured sphere with a twist line. Separately, we also present explicit checks that the Coulomb branch of a putative factorized class $S$ theory has the expected product structure, in two examples.
