A \(G\)-equivariant String-Net Construction

A \(G\)-equivariant String-Net Construction

We develop a string-net construction for the (2,1)-dimensional part of a \(G\)-equivariant three-dimensional topological field theory based on a \(G\)-graded spherical fusion category. In this construction, a \(G\)-equivariant generalization of the Ptolemy groupoid enters. We compute the associated...

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Veröffentlicht in:arXiv.org 2023-03
Hauptverfasser: Meunier, Adrien DeLazzer, Schweigert, Christoph, Traube, Matthias
Format: Artikel
Sprache:eng
Schlagworte:
Field theory
Strings
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Zusammenfassung:We develop a string-net construction for the (2,1)-dimensional part of a \(G\)-equivariant three-dimensional topological field theory based on a \(G\)-graded spherical fusion category. In this construction, a \(G\)-equivariant generalization of the Ptolemy groupoid enters. We compute the associated cylinder categories and show that, as expected, the model is closely related to the \(G\)-equivariant Turaev-Viro theory.
ISSN:2331-8422