A $G$-equivariant String-Net Construction

Adrien DeLazzer Meunier; Christoph Schweigert; Matthias Traube

A $G$-equivariant String-Net Construction

Quantum Algebra 2023-04-04 v1 Mathematical Physics math.MP

Authors: Adrien DeLazzer Meunier , Christoph Schweigert , Matthias Traube

Abstract

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.

Cite

@article{arxiv.2304.00106,
  title  = {A $G$-equivariant String-Net Construction},
  author = {Adrien DeLazzer Meunier and Christoph Schweigert and Matthias Traube},
  journal= {arXiv preprint arXiv:2304.00106},
  year   = {2023}
}

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44 pages, lots of figures

A $G$-equivariant String-Net Construction

Abstract

Cite

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