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BIMSA Lecture
BIMSA Lecture
Lattice models and weak Hopf quantum symmetry in topological phases
Lattice models and weak Hopf quantum symmetry in topological phases
Organizer
Yangyang Ruan
Speaker
Sheng Tan
Time
Wednesday, March 25, 2026 2:30 PM - 3:30 PM
Venue
A3-3-301
Online
Zoom 468 248 1222
(BIMSA)
Abstract
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.