论文标题
$ t [m] $理论的全球全球对称性。我
Generalized Global Symmetries of $T[M]$ Theories. I
论文作者
论文摘要
我们研究了$ d $维歧管$ m_d $的6D理论的减少，重点是对称，异常和产生的$（6-D）$（6-D）$尺寸理论$ t [m_d] $之间的相互作用。我们将“两极分化”的概念完善并概括为“ $ M_D $上的极化”，该概念可以修复$ t [m_d] $中的本地和扩展运算符。理论的另一个重要特征$ t [m_d] $是它们通常具有较高的对称性，例如2组和3组对称性。我们研究了这种对称性的起源以及物理意义，包括对称性破坏和对称对称性的增强。为了更好地探究IR物理学，我们还研究了5D Chern-Simons Matter They Resision的“ T Hooft异常”。本文的重点是开发通用框架以及$ d = 0 $和1的特殊情况，而即将发表的论文将讨论$ d = 2 $，$ 3 $和$ 4 $的情况。
We study reductions of 6d theories on a $d$-dimensional manifold $M_d$, focusing on the interplay between symmetries, anomalies, and dynamics of the resulting $(6-d)$-dimensional theory $T[M_d]$. We refine and generalize the notion of "polarization" to "polarization on $M_d$," which serves to fix the spectrum of local and extended operators in $T[M_d]$. Another important feature of theories $T[M_d]$ is that they often possess higher-group symmetries, such as 2-group and 3-group symmetries. We study the origin of such symmetries as well as physical implications including symmetry breaking and symmetry enhancement in the renormalization group flow. To better probe the IR physics, we also investigate the 't Hooft anomaly of 5d Chern-Simons matter theories. The present paper focuses on developing the general framework as well as the special case of $d=0$ and 1, while an upcoming paper will discuss the case of $d=2$, $3$ and $4$.
