Physical realisation of enriched quantum symmetries

    Project: Research

    Project Details

    Description

    This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory.nnThe main goal is to understand the landscape of topological and conformal field theories, laying the foundation for new technologies based on topological order. This timely project capitalises on the recent arrival of subfactor experts in Australia, and builds capacity in mathematical research and international links in a cutting edge field.
    StatusActive
    Effective start/end date8/02/2118/12/24

    Funding

    • Australian Research Council (ARC): A$259,399.00

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