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Lattice models and weak Hopf quantum symmetry in topological phases

组织者

阮洋洋

演讲者

谭盛

时间

2026年03月25日 14:30 至 15:30

地点

A3-3-301

线上

Zoom 468 248 1222 (BIMSA)

摘要

Kitaev’s quantum double model and Levin-Wen’s string-net model provide two lattice realizations of 2d non-chiral topological phases, which are characterized by unitary modular tensor categories. In this talk, I will present a generalization of Levin-Wen string-net models to multifusion categories. We introduce the weak Hopf gauge and charge symmetries in terms of weak Hopf tube algebras, and illustrate the weak Hopf symmetry underlying the multifusion string-net models.