论文标题
超级谎言代数$ \ mathfrak {sl}（2 | 1）$的无异常TQFTS $
Anomaly-free TQFTs from the super Lie algebra $\mathfrak{sl}(2|1)$
论文作者
论文摘要
众所周知，与超级lie代数$ \ mathfrak {sl}（2 | 1）$相关的量子组上的nilpotent重量模块的类别$ \ mathscr {c}^h $是相对模块的$ g $ - 类别。其修改后的跟踪使得定义了$ 3 $ manifolds的不变性。在本文中，我们表明类别$ \ mathscr {c}^h $是一个相对模块化的$ g $ - 类别，它允许一个人构建一个非避免的非simple扩展拓扑量子场理论，令人惊讶地是无异常的。与$ \ mathfrak {sl}（2 | 1）$相关的量子组在Unity的奇数上被考虑。
It is known that the category $\mathscr{C}^H$ of nilpotent weight modules over the quantum group associated with the super Lie algebra $\mathfrak{sl}(2|1)$ is a relative pre-modular $G$-category. Its modified trace enables to define an invariant of $3$-manifolds. In this article we show that the category $\mathscr{C}^H$ is a relative modular $G$-category which allows one to construct a family of non-semi-simple extended topological quantum field theories which surprisingly are anomaly free. The quantum group associated with $\mathfrak{sl}(2|1)$ is considered at odd roots of unity.
