PIRSA:25020042

Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization

Wan, Y. (2025). Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization. Perimeter Institute. https://pirsa.org/25020042

Wan, Yidun. Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization. Perimeter Institute, Feb. 18, 2025, https://pirsa.org/25020042 

          @misc{ pirsa_PIRSA:25020042,
            doi = {},
            url = {https://pirsa.org/25020042},
            author = {Wan, Yidun},
            keywords = {Condensed Matter},
            language = {en},
            title = {Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {feb},
            note = {PIRSA:25020042 see, \url{https://pirsa.org}}
          }

Yidun Wan

Fudan University

Talk number
PIRSA:25020042
Collection
Talk Type
Subject
Abstract

In this talk, we develop a comprehensive framework for realizing anyon condensation of topological orders within the string-net model by constructing a Hamiltonian that bridges the parent string-net model before and the child string-net model after anyon condensation. Our approach classifies all possible types of bosonic anyon condensation in any parent string-net model and identifies the basic degrees of freedom in the corresponding child models. Compared with the traditional UMTC perspective of topological orders, our method offers a finer categorical description of anyon condensation at the microscopic level. We also explicitly represent relevant UMTC categorical entities characterizing anyon condensation through our model-based physical quantities, providing practical algorithms for calculating these categorical data.