English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We use the language of categorical condensation to give a procedure forgauging nonabelian anyons, which are the manifestations of categoricalsymmetries in three spacetime dimensions. We also describe how the condensationprocedure can be used in other contexts such as for topological cosets andconstructing modular invariants. By studying a generalization of which anyonsare condensable, we arrive at representations of congruence subgroups of themodular group. We finally present an analysis for ungauging anyons, which isrelated to the problem of constructing a Drinfeld center for a fusion category;this procedure we refer to as bulk reconstruction. We introduce a set ofconsistency relations regarding lines in the parent theory and wall category.Through use of these relations along with the $S$-matrix elements of the childtheory, we construct $S$-matrix elements of a parent theory in a number ofexamples.

Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction