量子引力中相互作用四价辫的守恒量

Integrability and braided tensor categories

Many integrable statistical mechanical models possess a fractional-spin conserved current. Such currents have been constructed by utilising quantum-group algebras and ideas from "discrete holomorphicity". I find them naturally and much more generally using a braided tensor category, a topological structure arising in knot invariants, anyons and conformal field theory. I derive a simple constraint on the Boltzmann weights admitting a conserved current, generalising one found using quantum-group algebras. The resulting trigonometric weights are typically those of a critical integrable lattice mo…

非可逆对称性与混合异常：从守恒流构造中(3+1)维扭曲BF拓扑量子场论中的混合异常

Non-invertible symmetries and mixed anomalies from conserved current construction in (3+1)D twisted $BF$ topological quantum field theories

本研究通过守恒流构造方法，探讨了(3+1)维扭曲BF拓扑量子场论中非可逆对称性与混合异常的生成机制，揭示了非可逆对称性的融合代数及异常诊断方法。