论文标题
$ \ hat z $ - $ so（3）$和$ osp（1 | 2）$组的不变
$\hat Z$- invariant for $SO(3)$ and $OSp(1|2)$ Groups
论文作者
论文摘要
三个manifold不变性$ \ hat z $（'$ z $ -hat'），也称为同源块，是带有整数系数的$ q $ series。 $ \ hat z $的显式$ q $ - series表格以$ su（2）$ group，superGroup $ su（2 | 1）$和Ortho-Symplectic SuperGroup $ osp（2 | 2）$而闻名。我们专注于本文中的$（3）$组和正骨超级组$ osp（1 | 2）$的$ \ hat z $。特别是，与$（3）$＆$ osp（1 | 2）$ link不变的变量变化相关的$ su（2）$链接不变性在明确编写$ q $ - series中起着至关重要的作用。
Three-manifold invariants $\hat Z$ (''$Z$-hat''), also known as homological blocks, are $q$-series with integer coefficients. Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSp(2|2)$. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSp(1|2)$ in this paper. Particularly, the change of variable relating $SU(2)$ link invariants to the $SO(3)$ & $OSp(1|2)$ link invariants plays a crucial role in explicitly writing the $q$-series.
