论文标题
量子（超级）组的非偏simimple levin-wen模型和遗传学TQFTS
Non-semisimple Levin-Wen Models and Hermitian TQFTs from quantum (super)groups
论文作者
论文摘要
我们开发了定义赫尔米尼亚非偏smisimple tqfts的分类环境。我们证明，相对的Hermitian模块化类别产生了经过改进的Hermitian WRT-TQFT，并提供了来自量子群和量子超级甲壳虫的表示理论的众多示例。在此开发的用于改良的Turaev-Viro TQFT的遗传学理论用于定义新的伪 - 温米特拓扑阶段，这些阶段可以被视为Levin-Wen模型的非偏不呈现的类似物。
We develop the categorical context for defining Hermitian non-semisimple TQFTs. We prove that relative Hermitian modular categories give rise to modified Hermitian WRT-TQFTs and provide numerous examples of these structures coming from the representation theory of quantum groups and quantum superalgebras. The Hermitian theory developed here for the modified Turaev-Viro TQFT is applied to define new pseudo-Hermitian topological phases that can be considered as non-semisimple analogs of Levin-Wen models.
