$a\times b=c$ in $2+1$D TQFT

We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$. As is well known, when at least one of $a$ and $b$ is abelian, such equations de...

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Bibliographic Details
Main Authors: Matthew Buican, Linfeng Li, Rajath Radhakrishnan
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021-06-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2021-06-04-468/pdf/