论文标题
三维的边界理论间隙理论
Gapped boundary theories in three dimensions
论文作者
论文摘要
我们证明了三维拓扑字段理论的定理：reshetikhin-turaev理论接受了一个非零的边界理论，如果是Turaev-Viro理论。证明立即暗示了融合类别的表征，从可划分性角度来看。主要定理适用于物理学，这意味着对宽度的3维量子系统的障碍物承认边界理论。关于Bordism多兼性游戏和内部双重的附录可能具有独立的兴趣。 V2广泛的修订：添加了有关可偶性的2类，自然转换的材料，重新设计定理和几个证明等定理。
We prove a theorem in 3-dimensional topological field theory: a Reshetikhin-Turaev theory admits a nonzero boundary theory iff it is a Turaev-Viro theory. The proof immediately implies a characterization of fusion categories in terms of dualizability. The main theorem applies to physics, where it implies an obstruction to a gapped 3-dimensional quantum system admitting a gapped boundary theory. Appendices on bordism multicategories and on internal duals may be of independent interest.; v2 extensive revision: added theorem on dualizable 2-categories, material on natural transformations, reworked theorems and several proofs, and more.
