Modular tensor categories, subcategories, and Galois orbits
Quantum Algebra
2021-11-10 v1
Abstract
We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes a characterization of fusion subcategories of modular tensor categories which are closed under the Galois action, and a classifcation of modular tensor categories which factor as a product of pointed and transitive categories in terms of pseudoinvertible objects. As an application, we classify modular tensor categories with two Galois orbits of simple objects and a nontrivial grading group.
Cite
@article{arxiv.2111.05228,
title = {Modular tensor categories, subcategories, and Galois orbits},
author = {Julia Plavnik and Andrew Schopieray and Zhiqiang Yu and Qing Zhang},
journal= {arXiv preprint arXiv:2111.05228},
year = {2021}
}
Comments
20 pages; comments welcome