论文标题
来自特殊线性谎言的亲戚（PRE） - 模块化类别
Relative (pre)-modular categories from special linear Lie superalgebras
论文作者
论文摘要
我们检查了量子lie supalgebra在unity根部的$ \ mathfrak {sl}（m | n）$相关的量子lie superalgebra上的两个不同的m trace。第一个M-Trace是投影模块的理想，并导致新的扩展拓扑量子场理论。第二个M轨道是扰动典型模块的理想。我们考虑了来自该M轨道的可忽略不计的形态的商，并表明，在$ \ mathfrak {sl}（2 | 1）$的情况下，此商导致了3个manifolds不变性。我们猜想量子$ \ mathfrak {sl}（m | n）$的扰动类别会导致3个manifold不变性和更一般的etqfts。
We examine two different m-traces in the category of representations over the quantum Lie superalgebra associated to $\mathfrak{sl}(m|n)$ at root of unity. The first m-trace is on the ideal of projective modules and leads to new Extended Topological Quantum Field Theories. The second m-trace is on the ideal of perturbative typical modules. We consider the quotient with respect to negligible morphisms coming from this m-trace and show that in the case of $\mathfrak{sl}(2|1)$ this quotient leads to 3-manifolds invariants. We conjecture that the quotient category of perturbatives over quantum $\mathfrak{sl}(m|n)$ leads to 3-manifold invariants and more generally ETQFTs.
